Chapter SH, Problem 8.18EP

a.

To determine

To write the factor form of expression.

  

Answer to Problem 8.18EP

Factor form is $4t(7-4t)$ .

Explanation of Solution

Given information:

Height after t seconds

  

Calculation:

Let H(t)be the height of apple after t seconds

H(t)

Rewrite,

= $28t-16t^2$

So,

= $4t(7-4t)$

Hence, factor form is $4t(7-4t)$ .

b.

To determine

To calculate height after 1.5 seconds.

Answer to Problem 8.18EP

Height is 6

Explanation of Solution

Given information:

Height of after t seconds

  

Calculation:

Let H(t) be the height of apple after t seconds

  

So, height at 1.5 seconds

  $H\left(1.5\right)=-16{(1.5)}^2+28\left(1.5\right)$

On solving,

= $-16\left(2.25\right)+42$

On solving,

=-36+42=6

Hence, the height after 1.5 seconds is 6.