A rubber ball is shot straight up from the ground with speed v(0). Simultaneousl

Question

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?

Explanation / Answer

ball 1 max ht=vo²/(2*g)==>max ht t=vo/g total flight time *2 (ball going up, ball

coming down) ball 1==>value of vo is m/s

ball 2 vo==>t=(h*2/g) total flight time ball 2==>vo=-g*t vo ball 2 instant before

striking ground==>value for g is 9.8 m/s²

t is in seconds==>ht is in meters

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