How long would it take for a ball dropped from the top of a 100-foot building to hit the ground?

In order to determine the time taken, we will use the following formula:

s = ut + 0.5at²

Where s is the distance traveled, u is the initial velocity, a is the acceleration and t is the time. Now, because the ball is dropped, the initial velocity is 0. Moreover, the distance the ball must travel is 100 feet. And the acceleration due to gravity is 32.17 ft/s². Plugging these values in:

100 = 0*t + 0.5 * 32.17 * t²
t = √(200/32.17)
t = 2.49 seconds

The basketball will take 2.49 seconds to hit the ground.