Finding height given velocities

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To find the maximum height reached by the daredevil, apply the conservation of energy principle, where the initial kinetic energy (KE) at the ramp's exit equals the sum of the final kinetic energy and potential energy (PE) at the peak. At the peak, the vertical velocity is zero, indicating that all kinetic energy has been converted into potential energy. The initial speed is 39.0 m/s, and the speed at the peak is 36.7 m/s, allowing for the calculation of the height using the energy equations. Ignoring friction and air resistance simplifies the problem, focusing solely on the energy transformation. The solution involves determining the difference in kinetic energy to find the maximum height in meters.
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Homework Statement


A daredevil on a motorcycle leaves the end of a ramp with a speed of 39.0 m/s as in the figure below. If his speed is 36.7 m/s when he reaches the peak of the path, what is the maximum height in meters that he reaches? Ignore friction and air resistance.
p5-23alt.gif



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The Attempt at a Solution


I don't even know where to begin
 
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When the daredevil reaches the top, his velocity is in the vertical direction is zero... This means he can't go further up. Gravity will pull him down. Now, I suppose you can find the maximum height he reaches.
 
Think about conservation of energy, KEi+PEi=KEf+PEf. You should take your reference as the bike exits the ramp. I hope this is clear.
 

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