Question

If an object that is dropped from the roof of a building takes 12 seconds to hit the ground, how

tall is the building?

Answer 1

The height of the building is 705.6 m

Step-by-step explanation:

Given that,

When an object is dropped from the roof of a building, it takes 12 seconds to hits the ground.

We need to find the height of the building. Let it is h. Initially, the object was at rest. Using second equation of motion to find it as follows :

`h=ut+(1)/(2)at^2`

Here, a = g and u = 0

`h=(1)/(2)gt^2\\\\h=(1)/(2)* 9.8* (12)^2\\\\h=705.6\ m`

So, the building is 705.6 m tall.