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Nitella [24]
2 years ago
12

A rubber bouncy ball is dropped from a height of 119.00 inches onto a hard flat floor. After each bounce, the ball returns to a

height that is 18.2% less than the previous maximum height. What is the maximum height reached after the 19th bounce?
What is the rate of change, b, for this situation?
Mathematics
1 answer:
ryzh [129]2 years ago
6 0

Answer:

  • See below

Step-by-step explanation:

<u>18.2% less than h is:</u>

  • h*(100 - 18.2)/100 =
  • h*0.818

<u>The following series reflects this situation:</u>

  • 119, 119*0.818, 119*0.818², ...

This is a geometric series with the first term 119 and common ratio 0.818.

<u>The maximum height after 19th bounce is:</u>

  • h = 119*0.818¹⁹ = 2.62 inches (rounded)

The rate of change is same as common ratio b = 0.818.

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