An object drops from 144 ft, the function h (t) = - 16x^2 + 144 gives the height of the object after t seconds. When will the object hit the ground?

The height of the object that drops from 144 feet was given by the function

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

We now set this equation equal to zero because the height of the ground is zero:

0 = - 16t^2 + 144

16t^2 = 144

t^2 = 144/16

Taking the square root of both sides, we get the time t the object will hit the ground:

t^2 = 9

t = 3 seconds

Therefore, the answer is 3 seconds.