Chapter 9.6, Problem 28PPS

To determine

Find the solution.

Answer to Problem 28PPS

1.94 seconds

Explanation of Solution

Given Information: $h=-16t^2+60$

Formula Used:Quadratic formula

Calculation:

The quadratic equation gives the height of the squirrel from its starting position, which is 60 feet above ground.

  $h=-16t^2+60$

To find time it takes to drop 60 feet, means the ground level, where height is equal to 0 Or, $h=0$

  $0=-16t^2+60$

So, simplify

  $16t^2=60$

Now,

  $t^2=3.75$

Now,

  $t=\sqrt{3.75}$

Hence,

  $t=1.94$

So, it takes the squirrel about 1.94 seconds to drop 60 feet.