Question

One day at football practice, Darrell, the kicker, punted the ball so that its height in feet above the ground was given by the following function, where t is the number of seconds since the ball was punted.
$h(t)=-16t^{2} +75$

When will the football be 81 feet high?

Answer 1

When the football is 81 feet high, it will be √  3 / 8 seconds

Function

Function relates input to output. Therefore,

• h(t)  = - 16t² + 75

Therefore,

t = number of seconds

h(t) = - 16t² + 75

h(t) = 81 ft

Therefore,

81 = - 16t² + 75

- 16t²  = 81 - 75

- 16t²  = 6

divide both sides by -16

t² = 6 / -16

t² = - 3 / 8

square root both sides

t = √  3 / 8 seconds

learn more on function here: brainly.com/question/4418459