Consider the following:
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A park ranger wants to shoot...
A park ranger wants to shoot a monkey hanging from a branch of a tree with a tranquilizing dart. The horizontal distance between the ranger and monkey is L and the height of the monkey is h. The ranger aims directly at the monkey with the angle theta from the ground. 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? Verify your answer with formula.