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Drop the ball

by Sher1 » Fri May 29, 2009 6:55 am
A certain ball was dropped from a window 8 meters above a sidewalk. On each bounce it rose straight up exactly one-half the distance of the previous fall. After the third bounce the ball was caught when it reached a height of exactly 1 meter above the sidewalk. How many meters did the ball travel in all?
(A) 21
(B) 19
(C) 17
(D) 15
(E) 13

A
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by dmateer25 » Fri May 29, 2009 7:13 am
It fell 8 meters. then had it's first bounce. So it went back up 4 meters, then fell 4 meters. Then it had it's second bounce, and went back up 2 meters then fell 2 meters. Then it had it's third bounce and went back up 1 meter.

8 + 4 + 4 + 2 + 2 + 1 = 21
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