A little ball bounces straight on a surface in a certain way so that at every bounce it loses a fraction of it's vertical speed (called e in this equation). Assume that the ball is released from a ''resting height' (called H in this equation).
Show that after the n'th bounce against the surface the ball has reached:
[itex]H_n=e^2n * H [/itex]
I'm not sure.
The Attempt at a Solution
I'm thinking I need to maybe look at the kinectic energy but I'm sort of mystified. Any help is appreciated.