Answer:
t = 3 seconds
Explanation:
Here h(t) = -16t^2 + 144.
When the quarter hits the ground, its height will be 0 feet. Letting h(t) = 0 results in -16t^2 + 144 = 0, or 16t^2 = 144, or
144
t^2 = ------------ = 36/4 = 9 seconds^2
16
Therefore, the time, t, required for the quarter to hit the ground is t = √9, or t = 3 seconds