Chapter 8.5, Problem 50PPS

To determine

To write: The expression in factored form and find the height of the tennis ball 2 seconds and 4 seconds after being hit.

Answer to Problem 50PPS

The factored form of the given model is $16t\left(5-t\right)$

The height of the tennis after 2 seconds is $96$ feet.

The height of the tennis after 4 seconds is $64$ feet.

Explanation of Solution

Given:

The height in feet of the tennis ball is $80t-16t^2$ , where t is the time in seconds

Calculation:

The given model is $80t-16t^2$

Factored out the GCF

  $16t\left(5-t\right)$

Substituting $t=2$ in the given model

  $\begin{array}{l}80\left(2\right)-16{\left(2\right)}^2\\ =160-64\\ =96\end{array}$

Substituting $t=4$ in the given model

  $\begin{array}{l}80\left(4\right)-16{\left(4\right)}^2\\ =320-256\\ =64\end{array}$

So, the factored form of the given model is $16t\left(5-t\right)$

And the height of the tennis after 2 seconds is $96$ feet.

And the height of the tennis after 4 seconds is $64$ feet.