Motion with constant acceleration worksheet

Last UpdatedMarch 5, 2024

It then moves at a constant speed for half an hour. What is the acceleration of the object between times and ? 2. Variables Independent Variable: fan speed Dependent Variable: acceleration of the cart Constant: mass Summary You will use a simulation to measure the position and velocity of a cart as it Vertical motion under gravity. (i) Instantaneous velocity at t =2s t = 2 s. ⁡. How far must the ambulance travel until it matches the car’s velocity? One would be to use the fact stated in the stem of the problem — that the skydiver was in free fall. Identify which equations of motion are to be used to solve for unknowns. constant acceleration. ÐÏ à¡± á> þÿ S U Sep 27, 2015 · Relative Motion: a. All motion is _____. 2 : Motion with Constant Acceleration In this Section 3. (a) Speed. It is called acceleration due to gravity and is denoted by “g”. 2 represents an object that undergoes constant acceleration toward the right in the same direction as the initial velocity. Worksheet: Newton's laws 1. 7. experience approximately. 00−kg mass on a horizontal spring. a) How would you describe its motion in the last 3. Answer: (a) If the velocity of a body is zero, then the acceleration can be non-zero. 5 Constant Acceleration Averyusefulspecial case ofacceleratedmotionistheone where the accelerationaisconstant. UNIT 3: ONE DIMENSIONAL KINEMATICS (CONSTANT ACCELERATION) NOTES. Z a(t) dt= v(t) and Z v(t) dt= s(t): Motion in a straight line with constant acceleration due to Gravity Suppose a ball is thrown vertically upwards with initial Fig 1. • Accelerating • Decelerating • Constant speed • At rest Segment 0-A The bus is _____. The final positionis given by the equation To find, we identify the values of , , and from the statement of the problem and substitute them into the equation. 76 g, -201 m/s2, 20. Students practice identifying known and unknown variables and choosing the appropriate equation to solve. Draw FBD with proper coordinate axes and write an equation by using Newton's second law of motion for a. Hypothesis If the fan speed increases, then the acceleration of the cart increases, because a greater fan speed supplies more energy to move the cart. Speed is the distance traversed per unit time. If x = 0 at t = 0, what is the particle’s position at t = 5 s? Apr 1, 2003 · One Dimensional Motion. displacement and velocity and will now be enhanced. comIn this lesson, you will learn how constant accelerated motion fundamentally works in physics. 4. If an object has a displacement d with constant acceleration a, then the initial and ﬁnal velocities satisfy v2 f − v 2 i = 2ad. the car has constant acceleration of 2. Rattle snakes are not very fast – they can only move at Acceleration questions. The laws of mechanics in both frames of reference are completely equivalent if they move relative to This acceleration vector is the same on the way u p,a the o and o the w y down! Kinematics Formula Summary (derivations to follow) • v f = v 0 + at • v avg = (v 0 + v f)/2 • Dx = v 0t + ½ at2 • v f 2 – v 0 2 = 2aDx 2 1 For 1-D motion with constant acceleration: Kinematics Derivations a = Dv/Dt (by definition) a = (v f – v 0)/t v f Instantaneous Acceleration: a vector representing the rate of change of velocity with respect to time at a particular instant in time. Learning Objectives. After 2 seconds, car’s speed is 8 m/s. A car starts and accelerates at a constant 4 m/s2 in 1 second. This worksheet contains 6 word problems involving one dimensional motion with constant acceleration. v ¯ = v 0 + v 2 ( constant. All of the above. This remains constant in uniform circular motion 6. Introduction: Acceleration is the time rate of change of velocity. c. Audio Guided Solution. The diagram below shows the motion of a 2. time graphs to determine the acceleration of the cart. Make a graph of the displacement vs. Acceleration and velocity. Find the final speed of the object. Topic one activities have introduced. 2 Position-time graph for motion with (a) positive acceleration; (b) negative Answer: 240 m. (6 pts) a. Jul 31, 2014 · The velocity changes at the same rate as the motion progresses. Acceleration Worksheet. It is represented by a directed line segment s. 4 Motion with Constant Acceleration. It can be moved in one dimension, two dimensions, or three dimensions. Constant acceleration 1. The acceleration ceases, and during the next 3. Group name: Student Names: Objective of this lab activity. For examp le, suppose Apr 17, 2022 · The acceleration in each direction can be calculated using the same formulas for constant acceleration. BE SURE TO WRITE THE EQUATION EACH TIME AND PLUG IN THE NUMBERS AND UNITS IN THE CORRECT PLACES. We need to be able to analyze the motion of such objects. The Constant Velocity and Acceleration Assessment comes in two versions to give teachers options as they check for student understanding of concepts involving motion, velocity, acceleration, and position-time graphs. In part (a) of the figure, acceleration is constant, with velocity increasing at a constant rate. m s. time graphs, and velocity vs. (2. c) Distance traveled it is a vector. Displacement is the change in position of an object. Freely Falling Objects. Focusing on the use and derivation of constant acceleration equations, students should go into the worksheets with prior experience in using distance-time and velocity-time graphs. 1. of the graph is constant, representing the constant acceleration the object experiences due to the constant force of gravity. If the body is projected vertically upward then g = g. Feb 20, 2022 · This assumption allows us to avoid using calculus to find instantaneous acceleration. How could you determine acceleration from a velocity vs. Feb 20, 2022 · 3. We w 2. A child blows a leaf straight up in the air. An airplane starts from rest and accelerates at a constant +3. 10. Rotational Kinematics. In this activity the student will control the distance traveled along the ramp and then read the velocity at the end of the ramp after that he/she will find the object's constant acceleration using the distance versus time squared graph and then he /she will find the gravity (g) and compare it Science. A rocket ship starts from rest and turns on its forward booster rockets, causing it to have a constant acceleration of 4 m s 2 rightward. A particle moves in a straight line at a constant velocity of 30 m/s. t=3. Identify section(s) where the fly moves left speeding up. 0 seconds? 1) 20 m/s 2) Uniform circular motion 3) Lesser 4) Uniform acceleration motion 5) Not uniform 6) Scalar , vector. Work out the steps (type them in the Worksheet where directed to) to show how the acceleration is determined from the Slope and/or the Y-intercept. deceleration in a problem. What is the car’s acceleration? 3. If the velocity of an object is v o at t = 0 and v at time t, we have or 0 0 0 v v a , v v at t − = = + − (2. v = v0 + at. Directions: On this worksheet you will practice using the basic formulas for rotational, or angular, motion. Both the velocity and acceleration of the motorcycle point in the same direction. Correct answer: Explanation: Acceleration is equal to a change in velocity divided by a change in time. In this investigation you will 2. The acceleration due to gravity, , is 9. v0+v 2 = v0 + 1 2at. Learn about position, velocity, and acceleration graphs. 2. 0 seconds it travels 72m. 2A motorcycle has a constant acceleration of 2. Introduction. 4 m/s2, 5. This physics video tutorial explains the concept of acceleration and velocity used in one-dimensional motion situations. the following cases (also draw acceleration arrow on the side of the dot representing the object when a = 0% b. uniformly accelerated motion. What two controls on a car cause a change in speed? 4. By the end of this activity, you should be able to do the following (using a simulation): We recommend using the latest version of Chrome, Firefox, Safari, or Edge. The leaf reaches 1. One of the most common examples of motion with constant acceleration is freely falling objects. 5 m/s . Follow the convention that upward motion is positive. The three major types of simple linear motion are constant velocity motion, uniformly accelerated linear motion, and free fall. Move the little man back and forth with the mouse and plot his motion. This word is used when the sense of the acceleration is opposite that of the instantaneous velocity (the motion). In this article, we will first have a look at kinematics equations for objects moving under constant acceleration. The slope of a position-time graph of a car moving with a constant acceleration gets steeper as time goes on. to see a logical building of mechanics. Average acceleration = change in velocity. This unit introduces students to using laboratory tools to make quantitative measurements, specifically of position and time, and many new representations available to them when making quantitative observations (e. 0 m s 2 upward. Near the surface of the Earth, all objects. 8. 14159. (OpenStax 2. The acceleration is zero because the velocity is not changing. To be able to identify a free fall motion. There are three basic equations of motion that will get you through most homework problems that deal with motion in a straight line at constant acceleration. 4) SeeProblem2. Acceleration tells you how fast the On the worksheet provide the required derivations and the values. now define displacement, velocity and acceleration. A quantity having both magnitude and direction 4. You might guess that the greater the acceleration of, say, a car moving away from a stop sign, the greater the car’s displacement in a given time. File Type: pdf. The motion diagram for an object moving with a constant velocity. Yes. The velocity v of an object is a specification of both its speed and the direction in which it Simply stated, acceleration is the ability of an object to gain speed. 6 g 10. (a) Find the constant angular acceleration and (b) the angle the car moves through in this time. Determine the acceleration and you will compare it to the value you get in the next analysis. If a quantity has a constant value, then the average of this quantity is equal to this constant value. Explanation: It is possible to have a non-zero value of acceleration when the velocity of a body is zero. In FPS system value of g is 32ft/sec2 In CGS system value of g is 981cm/sec2 In MKS system value of g is 9. After 10 seconds, car’s speed is 40 m/s. 00 seconds, it has completed 18 revolutions. Hence Section Motion with Constant Acceleration 3. For example the average of 4, 4, and 4 is (4+4+4)/3= 4. (Let the initial displacement be zero. After 7. If not, explain why not. The basic physics quantities that describe the motion of an object are position, velocity, and acceleration. Use appropriate equations of motion to solve a two-body pursuit problem. to motion with constant acceleration. Assessment is limited to one-dimensional motion and to macroscopic objects moving at non-relativistic speeds. 2 m/s. Download File. Sep 21, 2014 · Relative Motion: a. What is the spring constant? What is the total energy? What is the maximum speed? This customizable EJS model is designed to help learners visualize the difference between constant velocity and constant acceleration. If the speedometer of your car reads a constant speed of 40km/hr, can you say 100% for sure that the car has a constant velocity? Explain your answer. time graphs when an object experiences a constant, non-zero acceleration. (Spoints) An On the graph below, indicate when the object is accelerating, decelerating and maintaining a constant velocity Velocity-time graph Question: Consider the motion of the object whose velocity-time graph is given in the diagram. The time and distance required for car 1 to catch car 2 depends on the initial distance car 1 is from car 2 as well as the velocities of both cars and the The above expressions are technically all you need for any setup involving constant accel-eration, but one additional formula might make things easier now and then. Centripetal acceleration ( a c. Google Classroom. Mar 12, 2024 · v¯ = v0 + v 2 (constant a). For example, if you steadily increase your velocity (that is, with constant acceleration) from 30 to 60 km/h The magnitude of distance and displacement are equal in a circular motion. What is the acceleration of the object between times and ? . Find the total distance covered by the car. Identify section(s) where the fly moves with constant velocity. W PLQDQG W PLQ d. What is its displacement during this time? 2. Aug 11, 2021 · The equation \(\bar{v} = \frac{v_{0} + v}{2}\) reflects the fact that when acceleration is constant, v is just the simple average of the initial and final velocities. Topic 3: Kinematics – Displacement, Velocity, Acceleration, 1- and 2-Dimensional Motion. Sketch the displacement-time, velocity-time, and acceleration-time graphs for… an object moving with constant velocity. B) The acceleration of the car must be non-zero. Determine the height of the hot air balloon at t = 70. 5 • Motion Equations for Constant Acceleration in One Dimension 57. Solution. ) Acceleration pointed towards the center of a curved path and perpendicular to the object’s velocity. Step 2: Specify the known and wanted information. It then decelerates uniformly to a stop in 30. 0 s of uniform acceleration. v = (0 m/s) + (−9. 0 m/s to 1. Car 1 catches up with car 2 at a later time. Position with Constant Acceleration Section 3. 105 radians/sec. Enter the known values into the equation. Figure \(\PageIndex{1}\) illustrates this concept graphically. Solution:- Given in the question that. For motion in the x or y-direction, it is represented by x or y, respectively. The rate at which the velocity incr eases is called the acceleration. But can an object ever come to a permanent halt if its acceleration truly remains constant? Sep 12, 2022 · Learning Objectives. a) how long does it takes for the stone to hit the ground. Hypothesis – Make an educated guess about the motion of an object with constant acceleration. After 3 s , what will be the velocity of the rocket ship? Answer using a coordinate system where rightward is positive. Find the total distance traveled during this 8-second interval. 0 seconds with constant acceleration, during which time it travels 81m. Its speed changes from 0 to 10 m/s in 5 seconds. A general case for a body executing uniformly accelerated motion is explained with the help of projectile motion in the video below. Just to keep things interesting, one version of the assessment has a football theme and the other version has a pizza delivery theme. It is the slope of speed -time See also Newton's first law of motion – problems and solutions. 8 m/s2, directed down, at the surface of the Earth. 8 m/s2) (7 s) v = −69 m/s. Now substitute the acceleration in one of the kinematic equations which relate those given data and have a missing value of distance, therefore v2 −v2 0 = 2a(x−x 0) 0 2−(30) = 2(−4. An object starts from rest and accelerates uniformly at 5 m/s2 for 3 seconds, then continues at a constant speed for 2s and finally accelerates uniformly at 2 m/s2 for 3 seconds. To study two dimensional motion with constant acceleration. 1) (2. Play this informative physics quiz on motion with constant acceleration and find out much you know about the topic. Physical quantity obtained by dividing displacement with time taken 3. Choose the correct words form the following list to describe the motion during each segment of the journey to fill in the blanks. 80 m/s2) by taking its ratio to the acceleration of gravity. For the y-direction: Kinematics is the area of physics that studies types of motion without specifying what caused it. 5a x t 2. We can plug in our given values and solve: Print Constant Acceleration | Definition, Formula & Examples Worksheet 1. This quiz will certainly help you gain more knowledge about the topic. Discussion. Our objective is to derive 4 equations called the kinematic equations of motion that can be used to describe any object moving with constant (uniform) acceleration in 1D. Area (15 m/min)(5 min) = 75 m F G May 19, 2020 · Title. Example 2. Use the one-dimensional motion equations along perpendicular axes to solve a problem in two or three dimensions with a constant acceleration. x is the distance travelled. Find the phase constant. What is the shape of the position vs. 5. 17) 56. 4) Fig. omit. Since the car starts at rest, the initial velocity is zero. a). Question 2. A new displacement. 28 sec. time graph? Aug 7, 2021 · Solution: This is a basic kinematics problem, so we will explain the steps in detail. v = v 0 + a t. 0 m/s 2 for 20. (2) v = v 0 + at. The equations for motion in the x and y directions are: For the x -direction: Velocity equation: v x = v 0x + a x t. Solution to Problem 12. Causes an object to change its direction and not its speed along a circular pathway. Because acceleration is always the same, the velocity changes at the same rate as time moves on. In general, a uniformly accelerated motion is the one in which the acceleration of the particle throughout the motion is uniform. PhET sims are based on extensive education <a {{0}}>research</a> and engage students through an intuitive, game-like environment where students learn through exploration and discovery. 81m/sec2. 1. The velocity curve has to cross from positive to negative velocity at some point, and it is at that moment in time that the instantaneous velocity of the object is 0. The laws of mechanics in both frames of reference are completely equivalent if they move relative to Oct 30, 2011 · Founded in 2002 by Nobel Laureate Carl Wieman, the PhET Interactive Simulations project at the University of Colorado Boulder creates free interactive math and science simulations. […] Worksheet 2, Rotational Kinematics, continued: Note: for my calculations using π, I use 3. In each of the choices below, 5 speeds are shown for the first 5 seconds of the motion of an object in meters per second Physics Principles and Problems 2009 Section 3. The simplest form of accelerated motion is motion in a straight line with constant acceleration. In this kind of problems, since the acceleration is constant so we can use an Question 1:- The displacement (in meter) of a particle moving along x-axis is given by x = 18t +5t2 x = 18 t + 5 t 2. Question 1. We can determine the Position-Time Equation with Changing Velocity (Constant Acceleration) Remember from Chapter 2, we learned the position-time equation of motion: 𝑥𝑓=𝑥𝑖+𝑣𝑡 We can use this equation in situations where velocity is constantly changing by replacing the constant velocity (v) with average velocity (v av). Starting from rest, a race car moves 110 m [fwd] in the first 5. time graph? Linear. Acceleration on a speed-time graph is constant when the line is straight. Nov 6, 2018 · Get more lessons like this at http://www. Position equation: x = x 0 + v 0x t + 0. d. Plot the corresponding graph of displacement as a function of time. accelerate? If so, give an example. What control causes a change in velocity? 5. The graph below describes the motion of a fly that starts out flying left. 2 Motion With Constant Acceleration (AP) PHYS 111 Lab 2: Motion with constant Acceleration. Problem 20. E) The average velocity of the car is 90 miles per hour in the direction of motion. 3. 00 m/s2 for 30. Physics. Crossword Puzzle. time and the velocity vs. We could use the first equation of motion for an object with a constant acceleration. This has already been done under learning objective Speeding its way to you from our A Level Mechanics category is a resource that supports constant acceleration questions with a selection of worked examples and tutorial-style information. time graph? Curved / quadratic; b. Across 2. , data tables, motion maps, computer simulations, position vs. This quiz covers numerical equations, basic definitions, concepts, and other factual information regarding motion and acceleration. 0 m higher than its original height with a constant acceleration of 1. b. Write down the equation of the displacement as a function of time. Question 1 At t = 0, a pulley rotating on a fixed axle with a constant acceleration has an initial angular velocity of 2. What is the acceleration of a car that travels in a straight line at a constant speed? 6. d) As time passes, a body in motion always increases its displacement. We know the acceleration and the change in time. Mar 2, 2022 · Welcome to constant acceleration problems. Suddenly, they see a rattle snake. with. Up is positive on this graph, so gravity will have to be negative. b) At what velocity it will hit the ground. a) Distance traveled only depends on the starting and final positions without consideration of the trajectory. Animation: 1. Acceleration 4 m/s2 means speed increase 4 m/s every 1 second. 0 s before leaving the ground. (because constant)-= - ave fi fi fi f i. In the simplest case the velocity increases at a constant rate. Aug 19, 2023 · Describe the motion of a particle with a constant acceleration in three dimensions. , , and . Identify section(s) where the fly moves right slowing down. Improve your understanding of the motion of objects that are experiencing constant acceleration. An object moves for 3. What is the shape of the velocity vs. Determine Suzie' acceleration rate and the distance she moved during this braking period. Set the position, velocity, or acceleration and let the simulation move the man for you. ‍. 45 seconds. 8 m/s in 1. Step 1: Since all these problems are in one dimension, draw a horizontal axis (like the positive x x axis), and place the object on it, so that its motion matches the direction of the axis. Also, printout the full-page graph. What is the position of the particle at the end of this motion? Problem 2 Sep 12, 2022 · Figure \(\PageIndex{4}\): A two-body pursuit scenario where car 2 has a constant velocity and car 1 is behind with a constant acceleration. Round answers to the nearest meter. _____ is an arbitrary coordinate system with reference to which the position or motion of something is described or physical laws are formulated. ∆ = = = ∆ − = − 2 PRACTICE PROBLEM. The equation v¯ = v0+v 2 v ¯ = v 0 + v 2 reflects the fact that, when acceleration is constant, v v is just the simple average of the initial and final velocities. The average acceleration = (V - V) / (t - t 0) = 0 The acceleration of an object moving at a constant velocity is equal to 0. 0 s of its motion, its vertical acceleration is defined by ay = (0. Adding v0 v 0 to each side of this equation and dividing by 2 gives. 2: SP211 Worksheet 2 2-6 Motion with Constant Acceleration, Free Fall, Motion on an Inclined Plane Problem 1 A particle starts from rest at xi = 0 and moves for 10 s with an acceleration of +2 cm/s 2. That is, a¯ = a = constant, (2. All free-falling objects (on Earth) accelerate downwards at a rate of 9. What is its displacement between t = 0 and t = 5. Solutions to the problems on velocity and uniform acceleration are Investigation 2: Motion with Constant Acceleration Goals: • To study the relationship between distance, velocity, and acceleration vs. D) The speed of the car must be 90 miles per hour throughout the entire trip. Description. v 0 + v 2 = v 0 + 1 2 a t. (3) v 2 = v 02 + 2a (x – x 0) where. v aa a t vv a t t v v at t. For a falling body, the acceleration is constant. Analyze data to support the claim that Newton’s second law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration. C) The first 45 miles must have been covered in 30 minutes. Suzie Lavtaski has reached the end of the ski slope and abruptly decelerates from 29. 8 m/s2. Using these values, we can solve for the final velocity. 2foraproof. Your answers may be a bit different depending upon your value for pi and rounding. t. . 1) a ¯ = a = c o n s t a n t, so we use the symbol a for acceleration at all times. How many accelerators are there in a car? Name/describe them. Calculate the area under a speed-time graph to work out the distance travelled for motion with constant acceleration. 6. There has to b e a period when the velocity increases. The ambulance is attempting to pass a car which is moving at a constant velocity of 30m/s. Oct 7, 2020 · Gravity and Uniform Acceleration Worksheet (Extra Practice) 1. 008 m/s 3 )t. In this case, the average acceleration equals the constant value of acceleration during the interval. A stone is thrown vertically upwards with a initial speed of 10 m/s from the edge of the roof of the house of Height H=20 m. v= v0 +at. 16. Since acceleration is constant, the average and instantaneous accelerations are equal. 1 Acceleration (AP) File Size: 2148 kb. the same acceleration due to gravity. Determine speed and distance after 10 seconds. Find instantaneous acceleration at a specified time on a graph of velocity versus time. Problem 12: A car accelerates from rest at 1. We can combine the previous equations to find a third equation that allows us to calculate the final position of an object experiencing constant acceleration. We start with. SI units of radians s. (Spoints) Book is at rest on a table. For the next 20 s, the acceleration of the particle is – 1 cm/s 2. a. Draw the reference circle. Then the magnitude of acceleration is given, with its direction being understood. Learn for free about math, art, computer programming On a speed-time graph, you can calculate the acceleration by calculating the gradient of the line. Section 2 Motion with Constant Acceleration: Mastering Problems Refer to )LJXUH to find the magnitude of the displacement during the following time intervals. Acceleration is how fast an objects’s velocity changes. A) The velocity of the car is constant. During a festival, a hot air balloon which is initially at rest was released and moved upward from the ground. This worksheet is provided to you through Google Drive. W PLQDQG W PLQ b. (1) x = x 0 + v 0 t + ½at 2. The race car of Problem 5 increases its speed at a constant linear acceleration from 80 m/s to 95 m/s in 10 s. Also called radial acceleration. MR. To be able to use the kinematic equations. 0 s. Acceleration Practice Worksheet Remember that acceleration is any change in velocity. time graphs). b) Distance traveled is always greater or equal than the magnitude of the displacement vector. (e) A car on cruise control doing donuts accelerating. Motion with Constant Acceleration OnlineLab Report In this lab, I used a simulation to measure the position and velocity of a cart as it accelerated along a gentle surface calculated the average velocity of the cart, and used velocity vs. W PLQDQG W PLQ 62/87,21 a. During the first 70. The instructor should. ) 1. 2 The graph shows that the car’s motion is not uniform: the displacements for equal time intervals on the graph get larger and larger. Constant Acceleration in the Direction of Motion: The motion diagram in Fig. W PLQDQG W PLQ c. Identify the knowns. A car rounding a corner at constant speed changes direction so its speed is constant but its velocity (direction) changes. time. An ambulance is currently traveling at 15m/s, and is accelerating with a constant acceleration of 5 m/s 2 . 0 seconds along a straight road . 0 m/s2, where and when will the car overtake the cyclist? 11. MathTutorDVD. James and Chris are playing out in the desert. Calculate his (a) acceleration and (b) deceleration. The correct answer is b. Can an object move with constant speed and. Physics questions and answers. UMEMOTO'S WEBPAGE - HOME If the car moves with a constant speed of 80 m/s, find (a) its angular velocity and (b) its tangential acceleration. (ii) average velocity between t =2s t = 2 s and t = 3s t = 3 s, (iii) Instantaneous acceleration. Example with constant angular motion: The second hand of a watch rotates at a constant angular velocity (ω) of 0. A car accelerates from rest to a speed of 36 km/h in 20 seconds. a= V final - V start. Calculate. What can we say about the motion of this object? Plot the corresponding graph of acceleration as a function of time. 17)(x−0) ⇒x ∼=108m where we can set the initial position, x 0 = 0. By the end of this section, you will be able to: Identify which equations of motion are to be used to solve for unknowns. g. is small enough that the acceleration can be considered constant over that interval. Express each in multiples of g (9. An object moving with a constant acceleration can certainly slow down. 3 Acceleration A vehicle at rest cannot suddenly start to move with constant velocity. 1 rad/sec. v=-22. (Changes in velocity include changes in direction!) 1. 0 s? A particle moves in a straight line with an initial velocity of 0 m/s and a constant acceleration of 30 m/s 2. What is the acceleration of the car in m/s 2? Solution: The initial velocity is 0 (from rest) and the final velocity is 36 km/h. 2-6 Kinematic formulas in one-dimension. CALCULATE THE ACCELERATION FOR THE FOLLOWING QUESTIONS. Note that the velocity function is an antiderivative of the acceleration function of an object and the position function is an antiderivative of the velocity function of an abject. It features the classic physics scenario in kinematics: a lead car travels at constant velocity on a straight track while a second car moves from rest with constant acceleration in the same direction. bq wv tz is mg xk wy lw uj ut