Halliday, Resnick & Walker — Rolling, Torque, and Angular Momentum: Problem 14

14 In Fig. 11-30, a small, solid, uniform ball is to be shot from point P so that it rolls smoothly along a horizontal path, up along a ramp, and onto a plateau. Then it leaves the plateau horizontally to land on a game board, at a horizontal distance d from the right edge of the plateau. The vertical heights are \(h_1 = 5.00 \text{ cm}\) and \(h_2 = 1.60 \text{ cm}\). With what speed must the ball be shot at point P for it to land at \(d = 7.50 \text{ cm}\)?