Question

How long would it take for a ball dropped from the top of a 576576-foot building to hit the ground? Round your answer to two decimal places.

Answer 1

5.98 s

Explanation:

576 ft = 576 / 3.28 = 175.56 m

Let g = 9.81 m/s2. The time it takes for the ball to fall from 165.56 m high to the ground is

`s = gt^2/2`

`t^2 = 2s/g = 2*175.56/9.81 = 35.8`

`t = √(35.8) = 5.98 s`