Answer:
t = 3.1 seconds
Step-by-step explanation:
Given that,
A baseball dropped from the roof of a 47 meter building.
Let t is the time taken by the baseball to free-fall of the top of the building. It can be calculated using second equation of motion as follows :
![s=ut+(1)/(2)at^2](https://img.qammunity.org/2021/formulas/physics/college/ibd2af3v9n6jd9ozutg9ojg11jckuoc5b4.png)
Here, u = 0 and a = g
![s=(1)/(2)gt^2\\\\t=\sqrt{(2s)/(g)} \\\\t=\sqrt{(2* 47)/(9.8)} \\\\t=3.09\ s](https://img.qammunity.org/2021/formulas/physics/college/9g4e7bdtja2nysk43s9zlsjofc8nlnfpot.png)
or
t = 3.1 s
So, it will take 3.1 seconds to free-fall of the top of the building.