To meet their design criterion, small ball bearings must bounce through a small opening at the top of their trajectory when rebounding from a heavy steel plate. You do not know the incoming velocity relative to the plate for the ball bearings or the coefficient of restitution. Using the apparatus geometry shown below for the ball bearings, and neglecting air resistance, calculate the following:
a. The angle (theta) made by the initial rebound velocity.
b. The velocity of the balls as they pass through the upper opening.
c. The time for the balls to move from the plate to the opening.