A ball is dropped d feet from the top of a building The time

A ball is dropped d feet from the top of a building. The time, t, in seconds that it takes for the bail to hit the ground is given by the formulas, t = 0.25 squareroot a^2. If it took 9.52 seconds for a ball dropped from the top of the Willis Tower in Chicago to reach the ground, then please find the approximate height of the tower to the nearest whole foot.

Solution

In accordance with the formula given, if h is the height of the Willis Tower in Chicago and if it takes 9.52 secons for the ball to hit the ground, then 9.52 = 0.25 h or, h = 9.52/0.25 = 38.08 Then h = (h)² = (38.08)² = 1450.0864 = 1450.09 feet ( approximately on rounding off to 2 decimal places)