If an object is dropped from a height of 144 ft, the function h of t equals negative 16t squared plus 144 gives the height of the object after t seconds. When will the object hit the ground?

Question

(1 point)
Responses

1.5 s
1.5 s

3 s
3 s

6 s
6 s

9 s

Answer 1

The object will hit the ground when the height is 0. To find when h(t) = 0, we can set -16t^2 + 144 = 0 and solve for t.

-16t^2 + 144 = 0
16t^2 = 144
t^2 = 9
t = 3 or t = -3

Since time cannot be negative, the object will hit the ground at t = 3 seconds.

Therefore, the correct response is 3 s.