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Zhikai Inclined Plane

# Zhikai Inclined Plane - Inclined Plane Instantaneous versus...

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Inclined Plane Instantaneous versus Average Velocity & Uniformly Accelerated Motion Wang Zhikai (A0080959N) Group A1 Pc1221 Lab Report: Inclined Plane 1 Objective Investigate the relationship between instantaneous and average velocities. Investigate the relationship between the velocity and distance travelled for a constant accelerating object. 2 Introduction The motion of an object can be described by kinematics, and the object’s position, velocity and acceleration. The average velocity is defined as the rate of change of position in time: v = (x f x i ) / t , where v is the average velocity, x f is the final position of the object, x i is the initial position of the object and t is the change in time interval; the final time minus the initial time. The average velocity is defined as the rate of change of velocity in time: a = (v f – v i ) / t , where a is the average acceleration, v f is the final velocity, x i is the initial velocity and t is the change in time interval; the final time minus the initial time. Assuming constant acceleration, we can describe the motion of an object with the following kinematic equations: 1) x f = x i + v i t + ½at 2 2) v 2 f = v 2 i + 2a ( x f – x i ) 3) v f = v i + at 4) d = v i t + ½at 2 5) v 2 f = v 2 i + 2ad The purpose of this experiment is to obtain the different readings produced by measuring the motion of the object multiple times and using the readings to investigate the relationship between the instantaneous and average velocities of the object as well as the relationship between velocity and distance travelled for an object with constant acceleration by using the kinematic equations. 3 Methodology Part A: Instantaneous versus Average Velocity 1) Set up a track with the support stand elevated at one end by about 1-2 cm. 2) Choose a point x 1 near the center of the track. Note the position of x 1 on the dynamics track metric scale. 3) Put a Picket Fence into the slots on top of the dynamics cart with the taped portion facing up. Use the length of the Picket Fence to represent the length of the cart. 4) Choose a starting point x 0 for the cart, near the upper end of the track. With a pencil, mark this spot on the dynamics track so the cart is always released from the same point. 5) Place the Photogate Timer and Accessory Photogate at points equidistant from x 1 . Record the distance between the two photogates. 6) Adjust the height of the photogates so that the Picket Fence can interrupt the photogate infrared beam. 7) Set the slide switch on the Photogate Timer to PULSE. In PULSE mode, the Timer measures the time it takes for the cart to move between the 2 photogates. 8) Press the reset button. 9) Hold the cart at x 0 , then release it. Record the time displayed on the Photogate Timer after the cart has passed through both photogates as t 1 in Data Table 1. Repeat the measurements two more times, recording the times as t 2 and t 3 .

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Zhikai Inclined Plane - Inclined Plane Instantaneous versus...

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