If an object is dropped from a height of meters and hits the ground in seconds, then t=√h/4.9 Suppose that an object dropped from the top of a building takes 9.56 seconds to hit the ground. What is the building's height?
Carry your intermediate computations to at least four decimal places, and round your answer to the nearest tenth.
Given:
t = 9.56 seconds
Using the formula t = √(h)/4.9, we can rearrange it to solve for h:
9.56 = √(h)/4.9
9.56 * 4.9 = √(h)
46.844 = √(h)
h = 46.844^2
h = 2190.057136
Therefore, the building's height is approximately 2190.1 meters.