Brantley tosses a ball out of a window that is 60 ft in the air. Its initial velocity is 18 ft per second. The path of the ball is represented by

h = - 16t^2+18t+60

How long does ot take for the ball to hit the ground (in seconds) rounded to the nearest hundredth?

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.