A ball is dropped from a height h above a floor. If the coefficient of restitution between the floor and the ball is e, the ball after the first rebound will rise to a height of

Let u and u' be the speeds of the ball before and after striking the floor respectively. Thene=u'/u  or u'=euNow u=(2gh) and u'=2gh'Where h' is the height to which the ball rises after rebound.∴uu′=hh′ or h′=u′2u2×h=e2h