A rubber ball is shot straight up from the ground with speed v(0). Simultaneously, a second rubber ball at height h directly above the first ball is dropped from rest.
1. At what height above the ground do the balls collide? Your answer will be a symbolic expression in terms of v(0), h, and g .
2. What is the maximum value of h for which a collision occurs before the first ball falls back to the ground?
3. For what value of h does the collision occur at the instant when the first ball is at its highest point?