A basketball traveling with the velocity shown in the figure strikes the backboard at A. If the coefficient of restitution for this impact is e = 0.84, determine the required distance h above the hoop if the ball is to arrive at the center B of the hoop. Carry out two solutions: (a) an approximate solution obtained by neglecting the effects of gravity from A to B and (b) a solution which accounts for gravity from A to B. Neglect the diameter of the ball compared with h.
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