An arrow is shot at an angle of ? =45? above the horizontal. The arrow hits a tr

Question

An arrow is shot at an angle of ?=45? above the horizontal. The arrow hits a tree a horizontal distance D=220m away, at the same height above the ground as it was shot. Use g=9.8m/s2 for the magnitude of the acceleration due to gravity.

a. Find ta, the time that the arrow spends in the air.

b.Suppose someone drops an apple from a vertical distance of 6.0 meters, directly above the point where the arrow hits the tree.

How long after the arrow was shot should the apple be dropped, in order for the arrow to pierce the apple as the arrow hits the tree?

Express your answer numerically in seconds, to two significant figures.

Explanation / Answer

a)
The arrow drops to the same horizontal plane from which it was shot.
R = u T cos ? and T = 2 u sin ?
R tan ? = gt

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