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As Shown in the image below
8+4+4+2+2+1 = 21

Ans :A
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8(initial fall)+4+4(1st bounce and fall) 2+2(2nd bounce and fall) +1(third bounce)=21m.
Option A.
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Bunuel
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

We can create the equation:

Drop of 8

Bounce of 4

Drop of 4

Bounce of 2

Drop of 2

Bounce of 1

Therefore, the ball traveled 8 + 4 + 4 + 2 + 2 + 1 = 21 meters.

Answer: A
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