Question

How long would it take for a ball dropped from the top of a 576-foot building to hit the ground? Round your answer to two decimal places.

please help

Answer 1

6 seconds

Step-by-step To solve this problem, you need to solve for t when h = 0. So:

h = -16t^2 + 576

0 = -16t^2 + 576 (subtract 576 from each side)

-576 = -16t^2 (divide each side by -16)

36 = t^2 (take the square root of each side)

6 = t

So it will take the ball 6 secs to hit the ground.