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3 years ago

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Brady dropped a bouncy ball from a height of 64 feet. After the second bounce, the ball reached a height of 36 feet. write a rul

e to represent the height of the ball after each bounce, then find the height after the fourth bounce

1 answer:

AveGali [126]3 years ago

8 0

Answer:

Height = 20.248 ft

Step-by-step explanation:

We can model this process with an exponential function

Height = Initial_Height *(e)^(k*x)

Initial_Height = 64 ft

Second bounce

x = 2

36 ft = 64 ft *(e)^(2*k)

(e)^(2*k) = 0.5625

2* k = ln(0.5625)

k = -0.2877

Fourth bounce

x = 4

Height = 64 *(e)^(-0.2877*(4))

Height = 20.248 ft

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