<PRE><B>Question 232800</B>
A ball is dropped from 10 feet high and always bounces back up half the distance it just fell. After how many bounces will the ball first reach a maximum height less than 1 foot?
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B  ht
1   5
2   2.5
3   1.25
4   0.625
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On the 4th bounce.
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h = 10*(1/2)^n
Use 1 to find n
10*(1/2)^n = 1
(1/2)^n = 0.1
n*log(0.5) = log(0.1)
n = log(0.1)/log(0.5)
n = ~ 3.32
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The nearest next bounce is 4.
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