Chapter 8.2, Problem 5CYP

To determine

The values of t in the given equation.

Answer to Problem 5CYP

  $t=0andt=\frac{3}{2}$

Explanation of Solution

Given:

The given equation is:

  $h=24t-16t^2$

h is the height of hop in meters and t is the time in seconds.

h = 0

Calculation:

It is given that h = 0, so the given equation can be written as:

  $24t-16t^2=0$

To find the values of t:

  $\begin{array}{l}24t-16t^2=0\\ 4t\left(6-4t\right)=0\\ 4t=0and6-4t=0\\ t=0andt=\frac{3}{2}\end{array}$