Question

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?​

Answer 1

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.