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## Homework Statement

A 684 kg automobile is moving at 13.2 m/s at a height of 5.0 m above the bottom of a hill when it runs out of gasoline. The car coasts down the hill and then continues coasting up the other side until it comes to rest. Ignoring frictional forces and air resistance, what is the value of h, the highest position the car reaches above the bottom of the hill?

http://www.webassign.net/grr/p6-31alt.gif

## Homework Equations

Mechanical energy is conserved so Einitial=Efinal. Uinitial+Kinitial=Ufinal+Kfinal.

mgyinitial+1/2mvinitial^2=mgyfinal+1/2mvfinal^2

## The Attempt at a Solution

I understand that the highest point will be reached when vfinal is equal to zero. However - I am having great difficulty manipulating the equations to allow for this equation. Any help or guidance will be appreciated!

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