If an object is dropped from a height of 144 ft, the function h(t) = - 16c ^ 2 + 144 gives the height of the object after t seconds. When will the object hit the ground?

Question

(1 point)

1.5 s

Ο 35

68

O9s

Answer 1

To find when the object hits the ground, we need to find when the height of the object is 0.

h(t) = -16t^2 + 144

Setting h(t) = 0:

0 = -16t^2 + 144

16t^2 = 144

t^2 = 9

t = 3 or t = -3

Since time cannot be negative, the object will hit the ground after 3 seconds.

So, the answer is 3s.