A ball is dropped from rest at the top of a building that is h meters in height.

Question

A ball is dropped from rest at the top of a building that ish meters in height. It falls straight downward,collides with the ground and bounces back. The coefficient ofrestitution is e (e<1). How many bouncescan the ball make and still reach a windowsill that is a distanced above the ground (d < h)? Express your answer in terms of e, d andh.
No idea where to even begin with this one. Any help would begreatly appreciated. I rate lifesaver for any decent answerthat even gets me started. Thanks!

Explanation / Answer

before 1st bouncing, speed v = (2gh) after 1st bouncing, speed = ev before 2nd bouncing, speed = ev after 2nd bouncing, speed = e(ev) = e2v .... after nth bouncing, speed = en v now env > (2gd) en > (d/h) n*log(e) > log[(d/h)] note e < 1, log(e) < 0 so n

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