Two identical objects A and B fall from rest from different heights to the ground. If object B takes twice as long as object A to reach the ground, what is the ratio of the heights from which A and B fell? Neglect air resistance. A)h_A/h_B = 1/ $\sqrt { 2 }$ B)h_A/h_B = 1/2 C)h_A/h_B = 1/4 D)h_A/h_B = 1/8

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Quizplus · Accepted Answer

The time of fall is proportional to the square root of the height. If B takes twice as long as A, then the height from which B falls is four times that of A, making the ratio 1/4.

Two Identical Objects a and B Fall from Rest from Different