Maximizing Motorcycle Jump Height: Solving for the Optimal Speed

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ymehuuh
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A daredevil on a motorcycle leaves the end of a ramp with a speed of 42.0 m/s as in the figure below. If his speed is 39.8 m/s when he reaches the peak of the path, what is the maximum height that he reaches? Ignore friction and air resistance.

So v0=42.0m/s and vf=39.8m/s...what equation am I supposed to use?
 
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Well first of all it would help to know what concepts you're currently covering in your physics class because as far as I can tell, this problem can be solved in a few different ways.

Second of all, what work have you attempted on this problem so far?
 
Yes, this once can be solved by using kinematic equations or by energy considerations. You should show us how much you've worked on it.