Answer:
2.58 seconds
Step-by-step explanation:
When you complete the square, you get ...
h = -16(t -9/16)^2 +60 +81/16
Then the solution for h=0 is ...
t = (x -9/16)^2 = 1041/256
t = (9 +√1041)/16 ≈ 2.57903 ≈ 2.58
It takes about 2.58 seconds for the ball to hit the ground.