Catch/Overtake Problems Video Lessons

Concept

# Problem: A rubber ball is shot straight up from the ground with speed v0 . Simultaneously, a second rubber ball at height h directly above the first ball is dropped from rest.At what height above the ground do the balls collide? Your answer will be a symbolic expression in terms of v0, h, and g .What is the maximum value of h for which a collision occurs before the first ball falls back to the ground?For what value of h does the collision occur at the instant when the first ball is at its highest point?

###### Problem Details

A rubber ball is shot straight up from the ground with speed v0 . Simultaneously, a second rubber ball at height h directly above the first ball is dropped from rest.

At what height above the ground do the balls collide? Your answer will be a symbolic expression in terms of v0, h, and g .

What is the maximum value of h for which a collision occurs before the first ball falls back to the ground?

For what value of h does the collision occur at the instant when the first ball is at its highest point?