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Question

You drop a ball from a window located on an upper floor of a building. It strikes the ground with a speed V. You now repeat the drop, but your friend down on the ground throws another ball upward at the same speed V, releasing his ball at the same moment at which you drop yours from the window. At some location, the balls pass each other. This location is:

A
At the halfway point between window and ground
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B
Above halfway point
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C
Below halfway point
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D
Cannot be determined
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Solution

The correct option is B Above halfway point


For the ball that is dropped,
V2=2gH (H is the height of the window above the ground)
Now,
y=12gt2
Hy=Vt12gt2H=Vt
So,
y=12g(HV)2
=H2g2×12gH
=H4

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