Question

4.

Answer 1

Using a decaying exponential function, it is found that the maximum height reached after the 10th bounce is of 20.62 cm.

What is an exponential function?

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

• A(0) is the initial value.

• r is the decay rate, as a decimal.

In this problem, the parameters are:

A(0) = 192, r = 0.2.

Hence the maximum height after the nth bounce is:

$A[n] = 192(0.8)^n$

After the 10th bounce, the maximum height in cm is of:

$A[10] = 192(0.8)^10 = 20.62$

More can be learned about exponential functions at brainly.com/question/25537936

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