Projectile Motion Notes

back to top. Parametric Projectile Motion Student Activity ©2014 Texas Instruments Incorporated 2 education. 3/10/15 Projectile Motion Introduction A. Here are Multiple Choice Questions(More than one correct) for Projectile motion problems with detailed solution. The study of such. A projectile is fired with a velocity of 20ms-1 at an angle of 25° above the horizontal. Blast a car out of a cannon, and challenge yourself to hit a target! Learn about projectile motion by firing various objects. The notes are written in an easy pattern with each step explained in much detail. height, T = time of flight. Now someone needed to come up with a method to determine if there was a special curve a projectile followed. Notes and summary extract from the Conceptual Physics book by Prentice Hall. Note: The famous "Range Equation" for projectile motion is a special case of the derivation described above. So far, we have looked at motion in only one direction, either horizontal or vertical. Projectile Motion One scientific topic of great interest in the Renaissance was motion. Now, we will try to explain motion in two dimensions that is exactly called "projectile motion". Hence, these equations are used to derive the components like displacement(s), velocity (initial and final), time(t) and acceleration(a). The paper airplane's motion is due to horizontal inertia and the vertical pull of gravity. We will assume that the air resistance can be approximated by the quadratic term only: Fdrag = ¡cv2v^. Projectile motion only occurs when there is one force applied at the beginning of the trajectory after which there is no interference apart from gravity. Balanced Forces. If you don't see any interesting for you, use our search form on bottom ↓. Visualizing vectors in 2 dimensions. We can have different types of projectile type. Projectile Motion Lab1 Projectile Motion Lab 2 Air Powered Rocket Lab (pdf file) Solutions to selected worksheet problems. 6) Acceleration. 1 - 2 Polynomial Function. ) are not allowed on /r/gifs. Projectile Motion from chapter Motion in a Plane, Physics online video lecture for IIT-JEE. Available At: mathcity. The shape of projectile motion looks like a parabola. Types of Projectile Motion • Horizontal – Motion of a ball rolling freely along a level surface – Horizontal velocity is ALWAYS constant • Vertical – Motion of a freely falling object – Force due to gravity – Vertical component of velocity changes with time • Parabolic – Path traced by an object accelerating. Maximum height attained (H) The maximum height attained occurs when the particle is momentarily stationary, before falling under gravity. The flight of the baseball (neglecting crosswinds) can be represented in two dimensions. Notes to the Teacher. It is actually clearing the screen and replotting at every time step, but on a fast computer you won't even notice the refresh. 0 s after it is PRACTICE QUESTIONS (WITH ANSWERS) struck. CIRCULAR MOTION Circular Motion -. View All Topics. Experiment 2 – Free Fall and Projectile Motion Objectives Learn how to solve projectile motion problems. Students must be aware that the horizontal and vertical motions are independent of each other. ! Analysis, cont ! Analyze the horizontal motion using constant velocity techniques ! Analyze the vertical motion using constant acceleration techniques ! Remember that both directions share the same time ! Finalize! Check to see if your answers are consistent with the. zProjectiles follow a curved path near the earth’s surface because of gravity’s effect on them. Equations (1), (2) and (3) use trigonometric definitions on the initial velocity. Projectile Launcher ME-6800, ME-6801 1 Introduction The PASCO Projectile Launcher has been designed for projectile motion experiments and demonstrations. Diarrhea B. Linear motion, also called uniform motion or rectilinear motion, motion in one spatial dimension. For example, they use the slope of the position–time graph to determine velocity and compare that to the velocity–time graph and calculations for the same part of the motion. In real life, the blue points would be smooth curves and the green segments would be connected. In many problems, air resistance is neglected in the analysis. ! Analysis, cont ! Analyze the horizontal motion using constant velocity techniques ! Analyze the vertical motion using constant acceleration techniques ! Remember that both directions share the same time ! Finalize! Check to see if your answers are consistent with the. Objects that move up and down (vertical projectiles) on the Earth accelerate with a constant acceleration \(\vec{g}\) which is approximately equal to \(\text{9,8}\) \(\text{m·s $^{-2}$}\)directed downwards towards the centre of the. If we consider air resistance acting on the projectile with drag being proportional to the velocity of the projectile Newton’s second law take the form ma = mgy^+ kv yy^ (2. v y = v o - gt y = y o + v yo t - 1/ 2 gt2 v y 2 = v yo 2 - 2g(y – y o) The trajectory is defined mathematically by a parabola. Get Free content prepared by IITians from KOTA along with free videos and Test. Projectile Motion – Problem Solving Hints, cont. PHYSICS PROJECTILE MOTION NOTES - Free download as PDF File (. HESI RN EXIT EXAM/HESI RN EXIT EXAM 1. There are the two components of the projectile's motion - horizontal and vertical motion. back to top. The only addition equipment required is a C-clamp for mounting the Launcher to a table or sturdy horizontal surface. Note the construction of the height equation in the problem above. 2! Let's review equations and then split them into X We will look at all projectile motion by separating the problems into vertical and horizontal motion. 6 m/s, and the coefficient on the linear term was " 19. 7-2 Projectile Motion. 31 Projectile Motion Review. My second question is about 3-D projectile motion, I can not find resources about that, I search a linear differential equation related to this and an example given. If you are given the initial velocity, resolve it into its x and y components. UNIT 4: Forces. Maths and Science Lessons > Courses > Grade 12 - Vertical projectile motion. Pause the tape if you need more time to fill in the note taking guides. Projectile Motion Simulation. Projectile motion remains a major component of the new Physics syllabus from 2018 onward, and in fact the questions may be more mathematical compared to the old syllabus. 6) Projectile motion can be treated as two rectilinear motions, one in the horizontal direction experiencing zero acceleration and the other in the vertical direction experiencing constant acceleration (i. If there were any other force acting upon an object, then that object would not be a projectile. Position, Velocity, and Acceleration Page 1 of 15 Session Notes Suppose an object is moving along a straight line, such as the x-axis, so that its position x, as a function of time t, on that line is given by y =xt(). YEAR 12 PHYSICS LESSON 2: PROJECTILE MOTION Copyright © MATRIX EDUCATION 2019 Page 45 of 322 Our Students Come First! All rights reserved. From Edexcel, Set 2. Projectile motion refers to the motion of an object projected into the air at an angle, water fountains are an example. Projectile Motion. (-16ft) becomes (-9. PROJECTILE PROBLEMS 1. Decide where to locate the origin. Projectile Motion Notes. To analyze projectile motion following three assumptions are made. The projectile motion has two elements: the horizontal projectile motion and the vertical projectile motion. Note: The meters can be substituted for feet as the unit of measure. Jumping animals 3. For the purpose of calculation, It can be split into two separate. Lech Jedral 2006. Forces - Newton's 3 Laws of Motion (Dynamics) Objectives & Homework - Forces In-Class Practice. Projectile motion occurs when a force is applied at the beginning of the trajectory for the launch (after this the projectile is subject only to the gravity). The path traced by a projectile accelerating only in the vertical direction while moving at constant horizontal velocity is a parabola. Perfect for acing essays, tests, and quizzes, as well as for writing lesson plans. In case of uniform acceleration, there are three equations of motion which are also known as the laws of constant acceleration. Chapter 4 Newton's Laws and Freebody Diagrams. Note: The meters can be substituted for feet as the unit of measure. Big Ideas of projectile motion 2. Science and Society: Lecture Notes Essay November 14, 2011 “We can do no great things; only small things with great love. Equations Write the equation Define the variables Give the units of the variables White book pg 73-80 Blue book Ch 6 EQ: HOW DO WE DESCRIBE PROJECTILE MOTION?. Class-XI Class-XII Mathematical Tools for Physics Click here Pdf Notes: (HandWritten) Though the best notes are those which are written by yourself, yet at times due to unavoidable circumstances we urgently need notes which are best in content as well Quality. PHET Projectile-Motion Lab Name _____ Go to mrstomm. Describe and sketch the trajectory of projectile motion as parabolic in the absence of air resistance. GK, General Studies, Optional notes for UPSC, IAS, Banking, Civil Services. Projectile Motion Simulation With Python. Find the x-component (horizontal component) of the vector V 0 and the y-component (vertical component) of the vector V 0. The path followed by the object is called its trajectory. The time from the launch of the projectile to the time it hits the target is the same for both vertical motion and horizontal motion. Projectile motion; An object is said to undergo projectile motion when it follows a curved path due to the influence of gravity. days ” Artillerists through a projectile would. Explore vector representations, and add air resistance to investigate the factors that influence drag. Horizontal motion. 31 (textbook) : A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 65. When the air resistance is negligible the vertical component of a projectile's motion is identical to the motion of vertical free fall. MOTION OF A PROJECTILE (Section 12. 64, note that gravity has no effect on an object’s horizontal motion. A description of projectile motion, how a bullet or ball fired at an angle to the horizontal will travel through the air, and how to describe its trajectory. Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The type of motion to discuss here is a Projectile. Increased salivation&NewLine. Activity: Tennis ball projectile motion 6 Projectile: any object that moves in response to gravity along a two-dimensional curved trajectory Definition of trajectory: The path of a projectile or other moving body through space. George Stephans. The initial velocity (launch speed) was 19. Projectile Motion Leap of Faith (The set-up) 'RF )L]]L[ GRUP URRP ZDV RQ WKH QG ÁRRU of his dormitory. The following text is used only for teaching, research, scholarship, educational use and informative purpose following the fair use principles. An object in freefall is a projectile that only has motion in the vertical dimension. Important Kinematic Equations are: Where v = final velocity, u = initial velocity, g = acceleration due to , t = total time and s=displacement. Projectile Motion: Finding height at a given range. Details of the calculation: (a) R = (v 0 2 sin2θ 0)/g. A person decides to fire a rifle horizontally at a bull’s-eye. A particle moving in a vertical plane with an initial velocity and experiencing a free-fall (downward) acceleration, displays projectile motion. In our class, however, we'll mainly deal with constant acceleration. Reason being, there is only one force acting, i. Are the forces on a projectile. zWith any curved path, we can break the motion down into a vertical component and a horizontal component. 81 m s-2 and is directed. What is a Projectile? A projectile is an object upon which the only force acting is gravity. NURS 6551 Final Exam – Pediatrics Lisa has Cushing’s syndrome. MAke 5 questions for Episode 404 and 5 questions for episode 405 and 3 complete sentences for the summary. Revision Notes on Gravitation and Projectile Gravitation:-Kepler’s first law (law of elliptical orbit):-A planet moves round the sun in an elliptical orbit with sun situated at one of its foci. Projectile Motion and Gravity. • Projectile motion will only involve problems using a constant value of g close to the surface of the Earth • The equation of the path of a projectile will not be required Data Booklet reference: • v = u + at • s = ut + (1/2)at 2 • v 2 = u 2 + 2as • s = (1/2) (v + u) / t • The v represents the final velocity. Xtra Gr 12 Physical Science: In this lesson on Vertical Projectile Motion we focus on the following: Force of gravity, gravitational acceleration and equations of motion. Projectile motion is the vector sum of both horizontal motion and vertical motion. If there were any other force acting upon an object, then that object would not be a projectile. Newton’s Second Law of Motion says that the force acting on the projectile is equal to the projectile’s mass m times its acceleration (“F = ma”), or m(d2r/dt2) where r is the projectile’s position vector and t is time. When any object is thrown from horizontal at an angle θ except 90°, then the path followed by it is called trajectory, the object is called projectile and its motion is called projectile motion. The range of a projectile over level ground is R = (v 0 2 sin2θ 0)/g. They move along a curved path (or trajectory) under the action of gravity. Projectile motion refers to the motion of an object projected into the air at an angle, water fountains are an example. Physics 505: Gravity. Problem Solving Session 2: Projectile Motion. Projectile motion. 01L Physics I: Classical Mechanics, Fall 2005 Dr. In the absence of air resistance, gravity is the only vertical force on the projectile; therefore the projectile travels with a uniformly accelerated vertical motion. From Edexcel, Set 2. Lecture Notes for College Physics I Contents 1 Vector Algebra 1 2 Kinematics of Two-Dimensional Motion 2 3 Projectile Motion 5 4 Newton's Laws of Motion 8 5 Force Problems 12 6 Forces due to Friction and Uniform Circular Motion 16 7 Newton's Law of Universal Gravitation 20 8 Work-Energy Theorem I 22 9 Work-Energy Theorem II 24. When an object is in flight after being projected or thrown then that object is called a projectile and this motion under the influence of constant velocity along. The horizontal and vertical motion of a projectile are independent of each other. In a vacuum chamber, both the sheet of paper and the bowling ball will reach the ground at the same time. How far from the base of the cliff will the stone strike the ground? How long will it take a shell fired from a cliff at an initial velocity of 800 m/s at an angle 300 below the horizontal to reach the ground 150m below?. Projectile Launcher ME-6800, ME-6801 1 Introduction The PASCO Projectile Launcher has been designed for projectile motion experiments and demonstrations. WORKSHEET ON PARTICLE MOTION If s f t is the position function of a particle that is moving in a straight line, then the instantaneous velocity of the particle is the rate of change of the displacement with respect to time, and the acceleration of the particle is the rate of change of the velocity with respect to time. The path followed by a projectile is called its trajectory. MM Physics 404: Newton's 3rd Law and Projectile Motion Instructions Before viewing an episode, download and print the note-taking guides, worksheets, and lab data sheets for that episode, keeping the printed sheets in order by page number. Projectile motion is a form of motion where an object moves in a parabolic path. Physics 204A Lecture Notes 7-1 Section 7 - Projectile Motion Section Outline 1. 3: projectile motion note the purpose: note: in digital format for distance? 3. Let's assume you know the initial velocity of the object V, the angle of launch α and initial height h. It is originally accelerated horizontally, however once it leaves the hand/gun etc it has no force acting upon it from this direction. Big Ideas of projectile motion 2. The movement never stops. ) as it moves through the air. Newton’s Second Law of Motion says that the force acting on the projectile is equal to the projectile’s mass m times its acceleration (“F = ma”), or m(d2r/dt2) where r is the projectile’s position vector and t is time. Upon reaching the edge of the table, it follows a parabolic path to the floor. Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. 3 Velocity in projectile motion 2. In order to avoid confusion, vectors will be denoted by bold letters (to distinguish them from scalars) throughout this section. Projectile motion and combining forces, examples of projectile motion. Problem 32. The first piece is stopped in midair by a specially contrived explosion in such a way that its subsequent trajectory is straight down to the ground. Motion Prediction is also one of the prerequisite skills for T2 short-ranged turrets (autocannon, blasters and pulse lasers). A person decides to fire a rifle horizontally at a bull’s-eye. Projectile motion with drag:. locity of a projectile when fired from a spring gun hori-zontally (part 1) and to predict the landing point when the projectile is fired at a non-zero angle of elevation (part 2). Q4 E Case Study 15 - Projectile Motion. Projectile motion is the motion experienced by an object in the air only under the influence of gravity. Solving ballistic problems involves using the kinematics equations of motion, also known as the SUVAT equations or Newton's equations of motion. 8-meter tall platform. Projectile Motion One scientific topic of great interest in the Renaissance was motion. Notes to the Teacher. • Scalar and Vector Quantities Scalar […]. Horizontal Motion; Vertical Motion; Note- Both are independent of each other. PROJECTILE MOTION. Combination of 1. Recommended way is to solve them on your own and then check solutions for correctness Note to our visitors :-Thanks for visiting our website. ] (a) During the flight of the ball, what is the. Reason being, there is only one force acting, i. In real life, the blue points would be smooth curves and the green segments would be connected. For this we have included Pdf notes of each Chapter (still updating…. Class-XI Class-XII Mathematical Tools for Physics Click here Pdf Notes: (HandWritten) Though the best notes are those which are written by yourself, yet at times due to unavoidable circumstances we urgently need notes which are best in content as well Quality. So, go ahead and check the Important Notes for Class 11 Physics Projectile Motion and Circular Motion from this article. The horizontal spacing of the yellow ball is constant. A simpler way to frame equations and evaluate range, maximum height and time of flight of the projectile. find for episode 404 and 405 Newton's Law of Motion and Projectile. Note the construction of the height equation in the problem above. The resulting acceleration is a constant, which is always directed in vertically downward direction. [/math] During the motion of the projectile there is no force. Projectile Motion Applet - from PHET. Physics 2015- Lab 3 Projectile Motion Procedure: Activity 1 – Calculating vo using the Kinematic Equations As you begin to experiment with the steel ball launcher and a meter stick, you should find it is easy to measure angles (on the side of the projectile launcher) and distance (via the meter stick). Drawing Projectile Vectors PDF. Available At: mathcity. Projectile Motion Notes and Problems. Title: Microsoft Word - Notes Solving Projectile Motion Problems. (a) what is the horizontal component of the balls. , long jump, shot put). Projectile Motion Aristotle believed (incorrectly) that objects shot into the air followed a straight line until they lost their “impetus” at which point they dropped suddenly out of the air!! Motion of Objects Projected Horizontally. Laws of Motion. The vertical component of speed is zero at this point(v=0). Projectile motion describes the motion of objects, which have the force of gravity and air resistance acting on them. Moves through the air under the force of gravity. Due to the absence of horizontal forces, a. Vertical Motion Lab PDF. These two mo-. depends on the distance from the equator. Projectile Motion Notes Projectile: any object that moves through the air or through space under the influence of gravity Range: the horizontal distance a projectile travels Height: the vertical distance a projectile travels Horizontal velocity: constant, because no force acts horizontally Vertical velocity: changes, due to force of gravity. Projectile motion. A projectile is any object that falls. It also demonstrates some additional things that one can do with the Excel/VBA combination. The height is zero when the ball hits the ground. She lands on the surface with speed vf = 9 m/s at an angle θ = 42° below horizontal. 3 Equations of motion: no air resistance We first consider the situation of a projectile launched from a tower of height h onto some impact function , ignoring the e↵ect of air resistance. ) Solve applied problems on projectiles. [Answer: 19. PHYS 419: Classical Mechanics Lecture Notes QUADRATIC AIR RESISTANCE We will consider motion of a body in air. The range of a projectile is given by : R = (1) 2v0 2 sinqcos q g and the maximum height above the launch point is : H = (2) v0 2sin q 2g If we want to express initial velocity in terms of R, H and g only, we need to find an equation that does not involve q in any way. A client with a serum sodium level of 125 meq/mL should benefit most from the administration of which intravenous solution? • 0. Students will be able to contrast the motion of a projectile without air resistance to motion with air resistance. (1) The motion of a projectile is a two-dimensional motion. Equations (1), (2) and (3) use trigonometric definitions on the initial velocity. Open Digital Education. 8 ms -2 (approx. Projectile Motion Formula or trajectory formula is formulated as. HW3 Vectors and projectile motion Problem 1: Answer the following question concerning vectors. A projectile is any object that is given an initial velocity and then follows a path determined entirely by gravity. In a vacuum chamber, both the sheet of paper and the bowling ball will reach the ground at the same time. 0 m s–1 from a vertical height of 18. Download this document for Physics at Hochschule Bonn-Rhein-Sieg for free and find more useful study materials for your courses. If we stand at the edge of the roof of the Science Building and throw a ball up at an angle, it moves up and then down vertically while it moves horizontally. The lesson covers the following points: 1) Independence of vertical an horizontal motion of a projectile 2) Two-dimensional motion of a projectile 3) Problem-solving steps with examples There are detailed teacher notes in the 'Notes' section of each slide, including answers where required. Projectile motion, for our purposes, is the motion of an object that has been launched and then is subject to only the force of gravity and the force of air friction. The acceleration felt by any object in uniform circular motion is given by a =. Click INTRO to begin and follow your teacher's direction. vectors act independently & perpendicular. Low-effort novelty accounts that do not constructively contribute content or add to discussion (e. • Scalar and Vector Quantities Scalar […]. 2 Integrals of Vector Functions; Projectile Motion 3 Suppose the initial position is r0 = 0. Find the minimum velocity with which the horizontal range is 39. In vertical projectile motion we deal with objects that fall under the influence of gravity and only vertically. Note that in calculating projectile problems, vertical acceleration must be negative.  Projectile motion will be analysed using the equations of motion introduced in Year 11 – Module 1: Kinematics. Projectile Motion ! An object may move in both the x and y note the effect ! Change the magnitude and note the effect. Objects that move up and down (vertical projectiles) on the Earth accelerate with a constant acceleration \(\vec{g}\) which is approximately equal to \(\text{9,8}\) \(\text{m·s $^{-2}$}\)directed downwards towards the centre of the. 0 s c after 2. MOTION OF A PROJECTILE (Section 12. PROJECTILE PROBLEMS 1. Projectile Motion. 0º with the horizontal, as shown in Fig. Newton's Laws of Motion and Projectiles. The type of motion to discuss here is a Projectile. 2 Describing the motion of a projectile 2. PROJECTILE MOTION Senior High School Physics. ] (a) During the flight of the ball, what is the. Projectile Motion If an object is launched at an initial angle of θ 0 with the horizontal, the analysis is similar except that the initial velocity has a vertical component. R = Range of projectile t = time required to attain max. 9) The potential energy comes from both gravity and the spring, so we have V (x;µ) = ¡mg(‘ + x)cosµ. VECTOR COMPONENTSVECTOR COMPONENTS x-component y-componentA In this case, 3. Projectile motion; An object is said to undergo projectile motion when it follows a curved path due to the influence of gravity. Department of Physical Sciencesand Engineering Prince George’s Community College Largo, Maryland. The horizontal lines demonstrate that the vertical motion of the balls are identical in both cases. If you are having trouble accessing the slides above, click the link below to view the PDF version: Projectile Motion Notes. Projectile Motion Using Visual Basic, write a program to provide information on the height of a ball thrown straight up into the air. Perfect for acing essays, tests, and quizzes, as well as for writing lesson plans. Color Highlighted Text Notes; Show More : Image. Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. An object dropped from rest is a projectile (provided that the influence of air resistance is negligible). A polynomial function of degree n, where n PROJECTILE MOTION. Which best describes the projectile motion of the marble as it leaves the table at the two different speeds? 21. 4 Acceleration in projectile motion 2. This curved path was shown by Galileo to be a parabola. Note: The famous "Range Equation" for projectile motion is a special case of the derivation described above. To understand projectile motion. Projectile Motion An object is thrown straight up from the top of a building h feet tall with an initial velocity of v feet per second. There are many ways to move from A to B, but if the acceleration is limited to a single constant value the graph of position vs time is a parabola. The object is called a projectile, and its path is called its trajectory. Prove that the maximum horizontal range is 4 times the maximum height attained by a projectile which is fired along the required oblique direction. An object is launched at 19. The key to analyzing two-dimensional projectile motion is to break it into two motions, one along the horizontal axis and the other along the vertical. Apr 18, 2020 - Projectile Motion - Theory Sheet, Class 11 Physics Class 11 Notes | EduRev is made by best teachers of Class 11. The medium of projectile motion is assumed to be non-resistive (i. 45% sodium chloride solution (half normal saline) • 10% Dextrose in 0. pdf), Text File (. MOTION OF A PROJECTILE (Section 12. Important Kinematic Equations are: Where v = final velocity, u = initial velocity, g = acceleration due to , t = total time and s=displacement. • Projectile motion will only involve problems using a constant value of g close to the surface of the Earth • The equation of the path of a projectile will not be required Data Booklet reference: • v = u + at • s = ut + (1/2)at 2 • v 2 = u 2 + 2as • s = (1/2) (v + u) / t • The v represents the final velocity. If we superimpose an xy -axis system with the positive y axis being “up”, then acceleration can be written as a vector-valued function,. Questions with solutions in detail with every step. We shall discuss unifor m circular motion in some detail. 8 m/s 2 , so if the height is great enough for gravity to have changed significantly the results will be. a y = - g = - 9. Projectile motion is a form of motion of an object under the action of gravity in which an object thrown near the earth's surface moves along a curved path. Projectile motion: x-comp. 0056 Lecture Notes - Introduction to Projectile Motion. If any object is thrown with velocity u, making an angle θ, from horizontal, then. For example, if the velocities of particles A and B are v A and v B. Many projectiles not only follow a vertical motion, but also follow a horizontal motion. Projectile Motion. Proposed Subject usage: Mathematics / Physics (A/AS level), Sports Science (Degree Yr 1/2) Introduction A projectile is a body in free fall that is subject only to the forces of gravity (9. projectile_motion. ) Click for the questions that go with this reading Implied Givens and More About Projectile Motion. (Identical projectiles launched at complementary angles have the same range. Note that in calculating projectile problems, vertical acceleration must be negative. In other words, a projectile is an object upon which the only force acting is gravity. Projectile motion refers to the motion of an object projected into the air at an angle, water fountains are an example. MOTION OF A PROJECTILE (Section 12. Xtra Gr 12 Physical Science: In this lesson on Vertical Projectile Motion we focus on the following: Force of gravity, gravitational acceleration and equations of motion. Key Features: The shape of a projectile’s path is a. Projectile Launcher ME-6800, ME-6801 1 Introduction The PASCO Projectile Launcher has been designed for projectile motion experiments and demonstrations. In a horizontal direction with constant velocity, the free-fall motion of any object is known as projectile motion. Lech Jedral 2006. For the analysis of such motion our reference will be made of an origin and two co-ordinate axes X and Y. Gravity affects projectiles the same way regardless of whether the projectile is moving horizontally. back to top. – For the purpose of our study, we must break up the two–dimensional. 0º with the horizontal, as shown in Fig. 4 Projectile Motion **Projectile motion is a combination of vertical motion and horizontal motion** horizontal constant speed vertical constant acceleration 5 m/s 5 m/s 5 m/s 5 m/s 5 m/s 0 m/s 10 m/s 20 m/s 30 m/s 40 m/s. wikiHow is a “wiki,” similar to Wikipedia, which means that many of our articles are co-written by multiple authors. The red ball falls from rest, whereas the. Projectile Motion Notes (horizontal launch) These notes describe how to calculate the distance and object will travel when it has been launched horizontally. Notes to the Teacher. The primary condition of projectile motion is that the object moves under constant vertical acceleration due to gravity and under zero horizontal acceleration (for HSC Physics; in reality there may be horizontal acceleration due to air resistance). The initial launch height was 58. 0 in 1999 and added to Emoji 11. 8ms- h d Using the three equations of motion and the vector projection we can treat projectile motion as two separate linear motion. Newton's 1st law. Launching and landing on different elevations. Consider this problem. [Neglect air resistance. Chapter 3: P32, 33, 34, 58 Quest 2d Motion #1 torque simulation Non-Uniform Rotational Motion. HESI RN EXIT EXAM/HESI RN EXIT EXAM 1. When any object is thrown from horizontal at an angle θ except 90°, then the path followed by it is called trajectory, the object is called projectile and its motion is called projectile motion. Note that it clearly stated parabolic trajectory. project on projectile motion constructs a device that can launch a cricket ball. Notes of Science Class 9 CBSE NCERT Pdf download 8 MOTION 1 Motion (Uniform Motion And Non Uniform Motion, Acceleration and Velocity) • A particle is a point-like object, has mass but infinitesimal size • The object's position is its location with respect to a chosen reference point, In the diagram, the road sign the reference point. Neglecting air resistance, projectiles follow the path of a parabola in nature. Projectile Motion - This 17 slide physics lesson package discusses the details behind projectile motion in both the x and y components, talks about the effect of gravity on projectiles and what occurs when the initial velocity is and is not equal to zero. The path followed by a projectile is called its trajectory. O PROJECTILE MOTION l. Key Features: The shape of a projectile’s path is a. Projectile Motion), the reference point will be made of an origin and the two coordinate axes X and Y. This curved path was shown by Galileo to be a parabola. The horizontal lines demonstrate that the vertical motion of the balls are identical in both cases. PHYS 419: Classical Mechanics Lecture Notes QUADRATIC AIR RESISTANCE We will consider motion of a body in air. PROJECTILE MOTIONPROJECTILE MOTION  ActsActs onlyonly under the influence ofunder 4. The vertical component of speed is zero at this point(v=0). In this project you'll simulate the motion of a projectile, rst in one dimension and then in two dimensions. The riverboat with current and without current. Visualizing vectors in 2 dimensions. The velocity vector \(u\) can be decomposed to its 2 components \(u_x\) and \(u_y\). Projectile Motion Notes and Problems. This acceleration acts vertically downward. The two-dimensional motion illustrated in Figure 1 is called projectile motion. 3 Projectile Motion at an Angle. You would suspect her to have or to develop A 4-year-old female with profuse vomiting, sweating, lacrimation, and diarrhea, who seizes in the emergency room. What follows is a general solution for the two dimensional motion of an object thrown in a gravitational field. It hits the ground 2. It was an ad for the fictional allergy medication Nozulla, featuring a woman frolicking in a field of flowers, while the narrator explained that "Nozulla may cause the following symptoms: itchy rashes, full body hair loss, projectile vomiting, gigantic eyeball, the condition known as "hotdog fingers", children born with the head of a golden. 4 Acceleration in projectile motion 2. Sutherland, University of Toronto INTERACTIVE set of Java Applets for all levels: Projectile Motion, The Damped Harmonic Oscillator, Elastic Collisions, Coupled Oscillations, Coriolis and Centrifugal Forces, The Kepler Problem, The Simple Plane Pendulum, Chaos in the Driven Pendulum, Motion in an. Sexual activities may be resumed upon return home b. In fact, this represents the performance measure in many sport events (e. Projectile motion is a form of motion where an object moves in a parabolic path. Without air resistance, this path is a parabola, and the equation is the following quadratic: h(t) = ­16t2 + v 0t + h0 **h(t) represents the height of the object (ft) at any time t during flight. Projectile Notes 1. MEMORY METER. In vertical projectile motion we deal with objects that fall under the influence of gravity and only vertically. R = Range of projectile t = time required to attain max. In other words, a projectile is an object upon which the only force acting is gravity. Uniform Acceleration Motion: Problems with Solutions; Uniform Acceleration Motion: Equations with Explanations; Graphical Analysis of Motion. zThe projectile experiences constant downward acceleration due to gravity. Use the arrows at the bottom to adjust the speed, angle and height. [/math] During the motion of the projectile there is no force. Physics 404: Newton's 3rd Law and Projectile Motion. Proposed Subject usage: Mathematics / Physics (A/AS level), Sports Science (Degree Yr 1/2) Introduction A projectile is a body in free fall that is subject only to the forces of gravity (9. Answer: Minimum vo = 15. These quantities are related by v y = dy dt ˇ y t = y nal y. a) How long does it take to reach the ground?. Centripetal force is parallel to centripetal acceleration. If an object is thrown vertically upwards, its subsequent motion can be predicted using the equations of motion for bodies moving with uniform acceleration (click here for worked example of this). Air resistance to the motion of the body is to be assumed absent in this type of motion. The primary condition of projectile motion is that the object moves under constant vertical acceleration due to gravity and under zero horizontal acceleration (for HSC Physics; in reality there may be horizontal acceleration due to air resistance). The only acceleration for a projectile is that of _____. Quadratic Word Problems: Projectile Motion For our purposes, a "projectile" is any object that is thrown, shot, or dropped. Due to the absence of horizontal forces, a. Note: V 0 is the initial velocity, Vx is the x-component of the vector, and Vy is the y-component of. PROJECTILE MOTION We see one dimensional motion in previous topics. 8 m s-2) (1. The path followed by the object is called its trajectory. To translate equations developed for linear motion to equations appropriatefor use in angular motion, we simply replace the symbol x by(),. WORKSHEET ON PARTICLE MOTION If s f t is the position function of a particle that is moving in a straight line, then the instantaneous velocity of the particle is the rate of change of the displacement with respect to time, and the acceleration of the particle is the rate of change of the velocity with respect to time. The speed of the bullet as it leaves the barrel of the gun is 890 m/s. Open Digital Education. Note that many textbooks use the symbol "D x" for s and v 0 for u. The acceleration is the same over time. We call this projectile motion. , its range). The resulting acceleration is a constant, which is always directed in vertically downward direction. The horizontal velocity of a projectile stays _____ while in flight. The horizontal motion of the projectile is the result of the tendency of any object in motion to remain in motion at constant velocity. Sham 5** notes in Hong Kong,Hong Kong. 2 Vertical projectile motion (ESCJW) In Grade 11, we studied the motion of objects in free fall and saw that such an object has a constant gravitational acceleration of \(\vec{g}\). A full set of A Level Physics Revision. A summary of Simple Harmonic Motion in 's Oscillations and Simple Harmonic Motion. In this article, we are giving some important questions of Projectile motion topic from IGCSE Grade 11 Physics. PROJECTILE MOTIONPROJECTILE MOTION  ActsActs onlyonly under the influence ofunder 4. Physics Weekly Assignments. The path of a projectile is called its trajectory. Your group has already determined the horizontal velocity using a meter stick and a stopwatch. A description of projectile motion, how a bullet or ball fired at an angle to the horizontal will travel through the air, and how to describe its trajectory. When solving a projectile motion problem you need to separate the x and y direction variables. Even with only an object's current location, velocity, and acceleration, we can calculate when and where the object will land. A projectile is any object that undergoes non-powered flight. Examples of a few projectile motions are football,. Projectile Motion • Projectile: any object with no mean of self propulsion • Trajectory: The shape of path • Range: Horizontal Displacement • Height: Vertical Displacement The Trajectory of a Projectile is a Parabola. b) The maximum height reached by the projectile at point X. Introductory physics notes from University of Winnipeg (algebra-based):. The following text is used only for teaching, research, scholarship, educational use and informative purpose following the fair use principles. Revision Notes on Gravitation and Projectile Gravitation:-Kepler's first law (law of elliptical orbit):-A planet moves round the sun in an elliptical orbit with sun situated at one of its foci. The motion of falling objects, as covered in Problem-Solving Basics for One-Dimensional Kinematics, is a simple one-dimensional type of projectile motion in which there is no horizontal movement. Decide where to locate the origin. 4 Projectile Motion **Projectile motion is a combination of vertical motion and horizontal motion** horizontal constant speed vertical constant acceleration 5 m/s 5 m/s 5 m/s 5 m/s 5 m/s 0 m/s 10 m/s 20 m/s 30 m/s 40 m/s. Notes: Projectile Motion projectile- any object launched, thrown or shot through the air under the force of gravity. The motion of projectile is called projectile motion. Measurements: Worksheet. A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. Projectile Motion), the reference point will be made of an origin and the two coordinate axes X and Y. You have attempted all the questions in Motion In Two Dimension And Projectile Motion ! Greater the attempts higher the scores, Take a different Practice through the Dashboard and improve your Test taking skills. Use the arrows at the bottom to adjust the speed, angle and height. Now, we will try to explain motion in two dimensions that is exactly called "projectile motion". Average velocity of the object over the time interval tt tto +Δ is given by x()()ttxt t +Δ − Δ, or change in position. Jumping animals 3. PROJECTILE MOTION We see one dimensional motion in previous topics. See more ideas about Projectile motion, Motion physics and Physics. The horizontal motion of the projectile is the result of the tendency of any object in motion to remain in motion at constant velocity. Physics 502: Resolution of Forces and Inclined Planes. PY105 Notes from Boston University (algebra-based): Motion in 2 Dimensions. A particle moving in a vertical plane with an initial velocity and experiencing a free-fall (downward) acceleration, displays projectile motion. When a projectile is released with a non-zero horizontal velocity, its trajectory takes on the shape of a parabola. Projectile Motion Using Visual Basic, write a program to provide information on the height of a ball thrown straight up into the air. The flight of the baseball (neglecting crosswinds) can be represented in two dimensions. Projectile motion. docx), PDF File (. The only common factor links them together is the time. Projectile motion basics Motion in 2D Projectile motion involves objects moving in two dimensions. (Are you taking upwards or downwards as positive?) Recall: Acceleration is always taken as 9. Projectile Motion Introduction In this lab you will study the motion of a freely-falling projectile, namely a small plastic sphere. The video is approximately 30 minutes long. Projectile motion only occurs when there is one force applied at the beginning of the trajectory after which there is no interference apart from gravity. Projectile Motion Doodle Notes with Practice Problems Your Physics students will love learning about projectile motion with the help of these doodle notes. This is always true for these up/down projectile motion problems. You're probably familiar with the story of Newton formulating his theory of gravity while sitting under an apple tree. 3 Projectile Motion at an Angle. She lands on the surface with speed vf = 9 m/s at an angle θ = 42° below horizontal. com Move to page 2. Lin 4 vertical component of motion. Jan 6, 2017 - Explore akrell's board "Projectile Motion", followed by 273 people on Pinterest. Note that in calculating projectile problems, vertical acceleration must be negative. This indicates how strong in your memory this concept is Notes/Highlights. Projectile and Relative Motion Projectile Motion Problems 30 m/s A projectile is fired horizontally off the top of a cliff with an initial velocity of 30 m/s. Big Ideas of projectile motion 2. ] (a) During the flight of the ball, what is the. 0 s after it is PRACTICE QUESTIONS (WITH ANSWERS) struck. What is 2D projectile motion? This is the currently selected item. linear motion projectile gravity Let's talk about linear motion, here's an example of linear motion I take this tennis ball and I throw it up and down it's moving in one dimension okay. Ball being kicked) Upon being fired, the projectile follows a trajectory, moving through the air. In order to avoid confusion, vectors will be denoted by bold letters (to distinguish them from scalars) throughout this section. ) Derive the formulas for several parameters for each case of a projectile motion. Mechanics and Motion Motion is one of the key topics in physics. Part (a) From the given list choose all that are examples of vectors. Projectile Motion. Consider motion up to maximum height. back to top. We know that projectile motion is a type of two-dimensional motion or motion in a plane. Projectile Motion When any object is thrown from horizontal at an angle θ except 90°, then the path followed by it is called trajectory , the object is called projectile and its motion is called projectile motion. air resistance). TL;DR: Too Long, Didn't Read. Projectile Motion - Physics PowerPoint Lesson & Notes. Formula Booklet Physics Class 12 Chapter Ray Optics Entrancei. Physics Study Notes Lesson 5 Projectile Motion Mr. Finally, the symmetrical nature of the projectile's motion can be. Topic objectives State the independence of the vertical and the horizontal components of velocity for a projectile in a uniform field. x direction y direction. One component is along a horizontal direction without any acceleration and the other along the vertical direction with constant acceleration due to the force of gravity. Galileo even took this idea further with his realization that there was more than one force at work upon the projectile. For the projectile motion, Aristotle believed that the motion of an object is parallel to the ground until it is the object's time to fall back into the ground. 8 m/s2) and downward toward the center of the Earth. The best app for CBSE students now provides Motion in a Plane class 11 Notes latest chapter wise notes for quick preparation of CBSE exams and school based annual examinations. Projectile Motion Projectile motion is a special case of two-dimensional motion. 0 t (s) The object starts from the ground and moves vertically. Apr 18, 2020 - Projectile Motion - Theory Sheet, Class 11 Physics Class 11 Notes | EduRev is made by best teachers of Class 11. 9 The motion of a projectile without air resistance (black dots). This document is highly rated by Class 11 students and has been viewed 7064 times. Created Date: 2/18/2016 12:58:26 PM. We consider three regimes of approximation: low-angle trajectory where the horizontal velocity, u, is assumed to be much larger. examples: A long. Circular Motion Worksheet 1 of 1 Circular Motion Worksheet Name _____ Period _____ Date _____ 1. For illustration, consider the two balls on the left. This Demonstration maps the motion of an object with a mass of 10 kg that splits into two pieces at the peak of its flight. Gravity acts to influence the vertical motion of the projectile, thus causing a vertical acceleration. Breaking down a Projectile Acceleration due to gravity g— 9. Significant Figures: Worksheet. In that case it is a straight line. NURS 6512 exam 3CA • The superior most part of the stomach is the a. PROJECTILE MOTION NOTES I CP PHYSICS PREVIEW THE MATERIAL 1. PHYSICS PROJECTILE MOTION NOTES - Free download as PDF File (. (-16ft) becomes (-9. Physics :: Projectile Motion :: Cannon Ball Projectile Soak-A-Mole Game How to Play: Before you play this game, you should check out the section How to Calculate #1 to find out how you can control the cannon ball's landing distance by setting the appropriate initial velocity for the cannon ball and its firing angle. HESI RN EXIT EXAM/HESI RN EXIT EXAM 1. Projectile motion pdf notes. Clickers will be used from here on. IMPLEMENTATION OF A PROJECTILE MOTION LABORATORY Preparation of Video Images Instead of using a stroboscope and a Polaroid camera, a S-VHS cam-corder (Panasonic AG455) was used NOTE. Notes:6 factors that affect motiongravityspinheight of releaseair resistancespeed of release angle of releaseGravity:is the attractive pull between 2 objects that have mass. Find the maximum height of the ball. Circular motion is a familiar class of motion that has a special significance in daily-life situations. The key to efficiently deal with projectile motion is to simply break the velocity down into its horizontal and vertical components. 2 Take upward as positive. Projectile motion refers to the motion of an object projected into the air at an angle, water fountains are an example. CBSE class 11 Physics Chapter 4 Motion in a Plane notes in PDF are available for free download in myCBSEguide mobile app. A hunter in a forest walks 800 m west. system for a projectile-motion labo-ratory. Projectile Motion Horizontal velocity is constant. Parametric Projectile Motion Student Activity ©2014 Texas Instruments Incorporated 2 education. The object is called a projectile, and its path is called its trajectory. Projectile motion is a form of motion experienced by an object or particle (a projectile) that is projected near the Earth's surface and moves along a curved path under the action of gravity only (in particular, the effects of air resistance are assumed to be negligible). The equation for the object's height (s) at time (t) seconds after launch is s(t) = -4. Are the forces on a projectile. Usually the object is moving straight up or straight down. Looking at the diagram in the section above, which represents the trajectory of the projectile motion of a ball, it is clear that the projectile motion is two dimensional. To create this article, volunteer authors worked to edit and improve it over time. Projectile Motion On Earth, the gravitational acceleration constant is −{. In other words, a projectile is an object upon which the only force acting is gravity. ! Analysis, cont ! Analyze the horizontal motion using constant velocity techniques ! Analyze the vertical motion using constant acceleration techniques ! Remember that both directions share the same time ! Finalize! Check to see if your answers are consistent with the. Jan 15, 2014 - Explore upstandingyoung's board "Projectile Motion" on Pinterest. The lesson covers the following points: 1) Independence of vertical an horizontal motion of a projectile 2) Two-dimensional motion of a projectile 3) Problem-solving steps with examples There are detailed teacher notes in the 'Notes' section of each slide, including answers where required. PROJECTILE MOTION NOTES I CP PHYSICS PREVIEW THE MATERIAL 1. An object is launched directly upward at 19. MAke 5 questions for Episode 404 and 5 questions for episode 405 and 3 complete sentences for the summary. To model this, one chooses V = m g z {\displaystyle V=mgz}, where g {\displaystyle g} (gee) is the so-called acceleration of gravity. Hence, these equations are used to derive the components like displacement(s), velocity (initial and final), time(t) and acceleration(a). 64, note that gravity has no effect on an object’s horizontal motion. 3 The trajectory of a projectile 3. It is a vector in a specified direction. 2 Projectile Motion & Vector SECTION - I : STRAIGHT OBJECTIVE TYPE 2. Projectile Motion Using Visual Basic, write a program to provide information on the height of a ball thrown straight up into the air. Targeted to more advanced 8th graders, to high school physical science students who have taken f. real life application & examples of projectile motion 3. org Contact At: [email protected] Visualizing vectors in 2 dimensions. The speed of the bullet as it leaves the barrel of the gun is 890 m/s. Projectile motion When none horizontal force is acting on the ball there is no horizontal acceleration. The resulting acceleration is a constant, which is always directed in vertically downward direction. Simpson, Ph. Chapter 3: P32, 33, 34, 58 Quest 2d Motion #1 torque simulation Non-Uniform Rotational Motion. The only common factor links them together is the time. 5m above the ground with an initial speed of 23m/s at an angle of 26° wrt the horizontal. Finally, the symmetrical nature of the projectile's motion can be. Students observe projectile motion and calculate the speed of a baseball based on the time and distance traveled. Free SAT II Physics Practice Questions with Solutions on Graphical Analysis of Motion with detailed solutions; Formulas and Constants. Notes: Projectile Motion projectile- any object launched, thrown or shot through the air under the force of gravity. Activity: Tennis ball projectile motion 6 Projectile: any object that moves in response to gravity along a two-dimensional curved trajectory Definition of trajectory: The path of a projectile or other moving body through space. Note that a x only affects v x and not v y, and a y only affects v y. Â A horizontally thrown ball and a bullet fired from a rifle held horizontally are the examples of projectiles in the horizontal direction. Projectile Motion course note pack: Projectile Motion - Teaching Tips, Professors can easily adopt this content into their course. Note: The famous "Range Equation" for projectile motion is a special case of the derivation described above. The riverboat with current and without current. Download this document for Physics at Hochschule Bonn-Rhein-Sieg for free and find more useful study materials for your courses. It travels equal distances in equal intervals of time. Question 2 ; The slope of a position versus time graph gives ; acceleration. (depending on the situation). Projectile motion occurs when a force is applied at the beginning of the trajectory for the launch (after this the projectile is subject only to the gravity). Resolve the initial velocity vo into its x and y components: vv00x cos and vv00y sin 3. HESI RN EXIT EXAM/HESI RN EXIT EXAM 1. The horizontal motion is given by x = vt where v = 30cos200 = 28. It is a vector in a specified direction. We shall discuss unifor m circular motion in some detail. This section provides the lecture notes for the course, information on lecture topics, and question posed to the class to stimulate discussion. Equations of motion and projectile motion Equations of motion (SUVAT, kinematics formulae, constant acceleration formulae, ect) can be used when the acceleration is constant, and since the vertical acceleration of a projectile is a constant g ms^{-2} , we can use these equations to find a number of useful things. Three types of motion: Vertical motion. Note that you have your x and y parts for the velocity. Projectile Motion. projectile motion PROJECTILE Any object that is given an initial velocity and the object subsequently follows a path determined by the gravitational force acting on it and by the frictional resistance of the atmosphere is called a projectile. Decide on your sign convention. TL;DR: Too Long, Didn't Read. The motion takes place in Earth gravitational fleld. Uniform Circular Motion A PowerPoint Presentation by Paul E. Projectile motion When none horizontal force is acting on the ball there is no horizontal acceleration. Don't worry, though. Unbalanced forces = make objects start to move, speed up, slow down, or change direction. Homework ROUND ALL ANSWERS TO THE NEAREST 100TH. Ball B is projected horizontally at the same instant that ball A is dropped. Which best describes the projectile motion of the marble as it leaves the table at the two different speeds? 21. BASIC CONCEPTS OF MOTION IN 2D. Copied! Email Emoji to Friends Link to "Belly". Today's Notes Today we are solving problems involving parametric equations and projectile motion with an initial height that is not zero. We have motion with constant acceleration in two dimensions, or projectile motion. Test 1 - Cannon Height & Distance 1. The Class-2 Projectile Cannon is a rather powerful weapon, and vehicles equipped with them are not to be taken lightly. The notes are written in an easy pattern with each step explained in much detail. Explore projectile can be calculated from this lab. Parametric Projectile Motion Student Activity ©2014 Texas Instruments Incorporated 2 education. Projectile Motion Notes Projectile: any object that moves through the air or through space under the influence of gravit gina wilson 2016 algebra worksheets key Read and Download Ebook Gina Wilson 2016 Algebra Worksheets Key PDF at Public Ebook Library GINA WILSON 2016 ALGEBRA WO. In other words, a projectile is an object upon which the only force acting is gravity. Don't forget that even if you appear to be standing still, the Earth is moving around the Sun, and the Sun is moving around our galaxy. Answer: 1) Force 2) Velocity and 6) Acceleration are vectors. Title: Microsoft Word - Notes Solving Projectile Motion Problems. VECTOR COMPONENTSVECTOR COMPONENTS  Part of a vectorPart of a vector  x-componentx-component: 2. Understand the fundamentals - that horizontal motion is always non-accelerated and vertical motion is accelerated by gravity. ) horizontally and also falls due to gravity. - Notes: Motion Part 7: Projectile Motion (Check out the Mythbusters confirming the independence of vertical and horizontal motion of projectiles!) - Projectile Motion problem set - Quiz Review - Kinematics & Free Fall - Optional additional Kinematics Practice Problems. Physics 204A Lecture Notes 7-1 Section 7 - Projectile Motion Section Outline 1. Projectile motion Problem 20. This program computes the position (x and y coordinates) and the velocity (magnitude and direction) of a projectile, given t, the time since launch, u, the launch velocity, a, the initial angle of launch (in degree), and g=9. Actual forces on a Projectile: Actual Forces Drag, lift due to spin, weight, wind. Path of projectile. Projectile motion is a special case of motion in two dimension when acceleration of particle is constant in both magnitude and direction. This can also be followed up with a discussion of projectile motion with the classic question:.
0nmm3o3glybi8h, uoyl1i1ordi03, o87p9abnabx, eyzrs2esxb20qv, 5wbn0psxzn8zpg, 0mls8evmusjqm6b, jazivz2yd6kte, v35apuul3cy5srb, ltun5n92grb84ae, 6btjdqerp2rjuim, 1npaf6wt3049dzn, 8az121zzl08sk4, sdojgxl73y6jw, wuufi1cg21h, e1wvs9ndwz2tts, 525s8oydf3p, 1494w7po5rdtiz, klhxnd82ezs4o, 75fwaf6823vnkk, c538elw26grdk9g, 6t48c53lu9kr, 81d7z16hj453, k5ziqm6pbrnrhf, moypjviozfd, 0637dorp42m9, a038m9nk39, u1ch1c176k668x, 6tqpxntl8n4, ers4461r16c, a4quw3mg5zm, fdbfrw5tz37, 6qka25x8rtnco, 0i964om6y3ag