Physics question

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Imagine that you want to shoot an apple hanging in a branch with an arrow. You aim the arrow 
and at the exact time you shoot it, the apple falls from the branch. Will it hit? It should 
still hit the apple if the air resistance ( wind) is negligible that day. Why will the 
projectile always hit the falling object it is aimed at if it is fired at the same time the 
object starts to fall? Think about this problem in terms of projectile motion. 
(There are good video demos of this experiment online.

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