Arubber 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 in terms of v_0, g, and h? 2.) what is the maximum value of h for which a collision occurs before the first ball falls back to the ground in terms of v_0? 3.) for what value of h does the collision occur at the instant when the first ball is at its highest point in terms of v_0?

Part a)

Part b)

Part c)

Explanation:

Part a)

Distance between two balls when it is dropped is given as

relative velocity of two balls initially at time of drop

relative acceleration of two balls is given as

now we have

Part b)

now the maximum height that we can use here is H

then we can say time to reach the ball back on the ground which is projected from ground is

Now if other ball just reach the ground

so we have

Part c)

If collision occurs at the top position of ball projected from the ground

then at the highest position

this must be time of collision so we have

the answer is a. at the equator

heat the gas and measure the pressure