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?

First, we need to rearrange the formula t=√h/4.9 to solve for h:

t = √h/4.9
9.56 = √h/4.9
(9.56)(4.9) = √h
46.844 = √h
h = 46.844^2
h = 2193 meters

Therefore, the building's height is 2193 meters.