posted by Chris on .
A park ranger wants to shoot a monkey hanging from a branch of a tree with a tranquilizing dart. The ranger aims directly at the monkey, not realizing that the dart will follow a parabolic path and thus will fall below the monkey. The monkey, however, sees the dart leave the gun and lets go of the branch to avoid being hit. Will the monkey be hit anyway? Does the velocity of the dart affect your answer, assuming that it is great enough to travel the horizontal distance to the tree before hitting the ground? Defend your answer.
Yes (it will be hit anyway) and no (the dart velocity does not matter. The dart fall below the direct-aim line by the same distance that the monkey has fallen, at any time before the dart hits the ground.