Question

SOLUTION: a diver jumps from a diving board that is 24 feet above the water. the height of the diver is given by h= -16(t-1.5)(t+1) where the height h is measured in feet and the time t

Answer 1

Answer:

The diver will hit the water at 1.5 seconds

Step-by-step explanation:

Given

$h= -16(t-1.5)(t+1)$

Required (Missing from the question)

When will the diver hit the water?

To do this, we simply solve for t

When the diver hits the water, the height is 0 (at that point)

So, substitute 0 for h in $h= -16(t-1.5)(t+1)$

$0= -16(t-1.5)(t+1)$

Divide both sides by -16

$\frac{0}{-16} =\frac{-16(t-1.5)(t+1)}{-16}$

$\frac{0}{-16} =(t-1.5)(t+1)$

$0 =(t-1.5)(t+1)$

$(t-1.5)(t+1)=0$

Split

$t - 1.5 = 0$ or $t + 1 = 0$

Solve for t

$t = 1.5$ or $t = -1$

But time (t) can not be negative.

So:

$t = 1.5$

Hence, the diver will hit the water at 1.5 seconds