Since the initial potential energy and final kinetic energy are zero, our equation now becomes EP,f = EK,i. We can then substitute the formula for kinetic energy,  EK = 1/2mv2,  and the formula for gravitational potential energy,  EP = mgh, mghf = 1/2mvi2. Now it's just a matter of doing the algebra, solving for the final height  hf,  and substituting values to find  hf.  Notice that the mass m divides out of both sides of the equation, so the value of the mass is not needed to find the final height. Calculate the maximum height of the ball in meters. hf = __________ m

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Since the initial potential energy and final kinetic energy are zero, our equation now becomes
EP,f = EK,i.
We can then substitute the formula for kinetic energy, 
EK = 1/2mv2,
 and the formula for gravitational potential energy, 
EP = mgh,
mghf = 1/2mvi2.
Now it's just a matter of doing the algebra, solving for the final height 
hf,
 and substituting values to find 
hf.
 Notice that the mass m divides out of both sides of the equation, so the value of the mass is not needed to find the final height.
Calculate the maximum height of the ball in meters.
hf = __________ m
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