(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A rubber ball is shot straight up from the ground with speed Vo. 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 Vo, 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?

2. Relevant equations

Vf^2 = Vi^2 + 2a(h)

3. The attempt at a solution

I am not sure how to make make the symbolic expression

Ball 1:

Vf^2 = Vi^2 + 2a(h)

h= (Vf^2 - Vo^2) / 2a

h= (Vf^2 - Vo^2) / 2(-9.8m/s)

Ball 2:

Vf^2 = Vi^2 + 2a(h)

h= (Vf^2 - Vo^2) / 2a

h= (Vf^2 - 0) / 2(9.8m/s)

Then make H=H

(Vf^2 - Vo^2) / 2(-9.8m/s) = (Vf^2 - 0) / 2(9.8m/s)

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# Homework Help: Height at which objects will collide

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