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Lab 6 Report

# Lab 6 Report - Projectile Motion Objective We are...

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Projectile Motion Objective We are determining the initial velocity of a launched ball by measuring how far it travels horizontally before impacting the floor. With this velocity, we will be able to predict the range of the projectile when it is fired at any angle, and predict the required angle for any range. Exercise 1: Mathematical Preliminaries To calculate the initial velocity, we must have a derived mathematical relationship between the distance traveled and the initial velocity that factor out time. We have two equations for this: t v R 0 = and 2 2 1 0 gt h - = . Combined we can derive: 0 0 v R t t v R = = h g R v h gR v v gR h v R g h gt h 2 2 2 2 1 2 1 0 0 2 2 0 2 0 2 2 0 2 = = = - = - = To calculate the deviation for the velocity, we must use a different equation than the standard deviation equation: ( 29 + = = n i i h h v R R v x R v v 2 2 2 2 2 2 0 0 0 0 Exercise 2: Determining the Initial Speed of the Projectile Procedure: We set the launcher to fire horizontally and loaded the ball into the desired launch distance. After firing, we observed the location of impact with the ground and placed the carbon paper on the spot. Then we fired four more rounds onto the paper and found the

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Lab 6 Report - Projectile Motion Objective We are...

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