Chapter 8.4, Problem 4CYP

To determine

The number of seconds for which the ball was in air.

Answer to Problem 4CYP

  $\text{6 second}$

Explanation of Solution

Given:

The given equation is:

  $h=-16t^2+48t+506$

Calculation:

The solution for the given statement can be obtained as:

  $\begin{array}{l}218=-16t^2+48t+506\\ 0=-16t^2+48t+288\\ 0=(-16t-48)(t-6)\\ 0=-16(t+3)(t-6)\\ t=-3\text{ or t=6}\end{array}$

  $\therefore \text{ The ball is 6 seconds in the air}\text{.}$