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?
A. 1.5 s
B. 3 s
C. 6 s
D. 9 s
To find when the object hits the ground, we need to find the time at which the height is 0.
So, we set h(t) = 0:
0 = -16t^2 + 144
Solving for t:
16t^2 = 144
t^2 = 144/16
t^2 = 9
t = 3
Therefore, the object will hit the ground after 3 seconds.
B. 3 s