The ball strikes the plate (initially at rest) with a 0.6 coefficient of restitution and with the marked initial velocity and angle shown in the figure above. The plate is supported as shown in the figure via the springs and the rollers system. Treat the ball and plate as particles. a) Determine the velocities of the ball and the plate just after the impact. b) Determine the angle 0 with which the ball rebounds from the plate. c) If the ball and the plate have masses m, and m, respectively, what must be the ratio m/m, to ensure that, after the impact, the velocity of the plate will be twice that of the ball along the line of impact? 12-20 m/s 60 Figure 1: Impact of a ball with a plate Ball mass m Plate mass=Ball mass-m