Question

A diver diving into a pool can be modeled by the function h=-16t^2+16t+12 where h is the height in feet above the water after t seconds. When will the diver enter the water?

Answer 1

1.5 s

Explanation:

diver will enter the water when h = 0, therefore we get the equation,

`0 = -16t^2 + 16t + 12`

`4t^2 - 4t - 3 = 0`

`4t^2 - 6t + 2t - 3 = 0`

`(2t + 1)(2t - 3) = 0`

t = -1/2 is ignored (time cannot be negative)

hence t = 3/2 = 1.5 s

Hopefully this answer helped you!