Finding height given velocities

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SUMMARY

The discussion centers on calculating the maximum height a daredevil on a motorcycle reaches after leaving a ramp at an initial speed of 39.0 m/s and reaching a speed of 36.7 m/s at the peak. The solution involves applying the principle of conservation of energy, specifically the equation KEi + PEi = KEf + PEf, where KE represents kinetic energy and PE represents potential energy. The initial kinetic energy when exiting the ramp is converted into potential energy at the peak height, allowing for the calculation of maximum height.

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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



Homework Equations





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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