Question

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)

1.5 s
3 s
6 s
9 s

Answer 1

h(t) = -16t² + 144

When will the object hit the ground? This means that the height will equal to 0.

h(t) = 0
0 = -16t² + 144
16t² = 144
t² = 144/16
t² = 9
√t² = √9
t = 3

The object will hit the ground after 3 seconds.