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05 Mar 2020, 07:43
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A ball is dropped 192 inches above level ground, and after the third bounce, it rises to a height of 24 inches. If the height to which the ball rises after each bounce is always the same fraction of the height reached on its previous bounce, what is this fraction?
(A) \(\frac{1}{8}\)
(B) \(\frac{1}{4}\)
(C) \(\frac{1}{3}\)
(D) \(\frac{1}{2}\)
(E) \(\frac{2}{3}\)
(A) \(\frac{1}{8}\)
(B) \(\frac{1}{4}\)
(C) \(\frac{1}{3}\)
(D) \(\frac{1}{2}\)
(E) \(\frac{2}{3}\)
05 Mar 2020, 18:48
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192/24 = 8
Total reduced by a factor of 8.
8 spread against 3 bounces = 2^3 = 8
1/2 * 1/2 * 1/2 = 1/8
therefore fraction = 1/2
Total reduced by a factor of 8.
8 spread against 3 bounces = 2^3 = 8
1/2 * 1/2 * 1/2 = 1/8
therefore fraction = 1/2
