Finding height given velocities

[mandy9008]

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.

Homework Equations

The Attempt at a Solution

I don't even know where to begin

 

[hermy]

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.

 

[wwshr87]

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.