Tennis: Fan Height Calculation from Ball Speed

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Homework Statement


In a tennis match, a player wins a point by hitting the ball sharply to the ground on the opponents side of the net. If the ball bounces upward from the ground with a speed of 16m/s and is caught by a fan with a speed of 12 m/s, how high above the court is the fan?


Homework Equations


Don't know.


The Attempt at a Solution


How do I start this question?
 
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Start with finding out if there is potential gravitational/spring/kinematic enegery at the beginning or at the end.

[tex]mgh_i + .5m(v_i)^2 + .5k(x_i)^2 = mgh_f + .5m(v_f)^2 + .5k(x_f)^2[/tex]