A roller coaster at the top of a hill is moving at 14 m/s. When it reaches the ground it is moving at 26. Find the height of the hill.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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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A roller coaster at the top of a hill is moving at 14 m/s. When it reaches the ground it is moving at 26. Find the height of the hill. 

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Step 1

In the question it is given that roller coaster initial velocity is 14 m/s 

It reaches the ground with the final velocity 26 m/s 

As it is coming down the acceleration is 9.8 m/s2 due to gravity  

We have to calculate the height of the hill 

Formula used here is equations of motion

 

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