If an object is dropped from a height of 144 ft, the function h(t) = –16t² + 144 gives the height of the object after t seconds. When will the object hit the ground?(1 point) Responses

Question

1.5 s
3 s
6 s
9 s

Answer 1

The object will hit the ground when h(t) = 0.

So, -16t^2 + 144 = 0

Solving for t, we get:

16t^2 = 144
t^2 = 144/16
t^2 = 9
t = 3 or -3

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

Answer: 3 s