A ball is released from rest relative to the elevator at a distance h1 above the floor....

A ball is released from rest relative to the elevator at a distance h₁ above the floor. The speed of the elevator at the time of ball release is v₀. Determine the bounce height h₂ of the ball (a) if v₀ is constant and (b) if an upward elevator acceleration a = g/4 begins at the instant the ball is released. The coefficient of restitution for the impact is e.