You drop a ball from a window located on an upper floor of a building. It strike

Question

You drop a ball from a window located on an upper floor of a building. It strikes the ground with speed v. You now repeat the drop, but your friend down on the ground throws another ball upward at the same speed v, releasing her ball at the same moment that you drop yours from the window. At what location, do the balls pass each other. a) at the halfway point between the window and ground; b) above the halfway point between the window and the ground; or c) below the halfway point between the window and the ground

Explanation / Answer

17. the window is A meters above the ground; the height of the ball#1 going down is x(t) =A -0.5g*t^2 meters above the ground at time t, hence time to reach the ground is t=sqrt(2*A/g) as x=0; and v=g*t = sqrt(2*A*g); the height of the ball#2 going up is y(t) =v*t -0.5g*t^2; when they meet x(t)=y(t); or; A -0.5g*t^2 = v*t -0.5g*t^2, hence time they meet at is t=A/v, and x(A/v) = A

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