1979M1. A ball of mass m is released from rest at a distance h above a frictionless plane inclined at an angle of 45∘ to the horizontal as shown above. The ball bounces elastically off the plane at point P1 and strikes the plane again at point P2. In terms of g and h determine each of the following quantities:
a. The velocity (a vector) of the ball just after it first bounces off the plane at P1.
b. The time the ball is in flight between points P1 and P2.
c. The distance L along the plane from P1 to P2.
d. The speed of the ball just before it strikes the plane at P2.