Answer:
The distance the object falls is of 50 meters.
Step-by-step explanation:
We are given the following formula:
[tex]\sqrt{d} = t\sqrt{4.9}[/tex]
In which d is the distance the object falls and t is the time it takes to fall.
A penny dropped from the top of the tallest building in town takes 10.2 seconds to reach the street.
This means that [tex]t = 10.2[/tex]
What is the height of the building?
[tex]\sqrt{d} = t\sqrt{4.9}[/tex]
[tex](\sqrt{d})^2 = (t\sqrt{4.9})^2[/tex]
[tex]d = 4.9t^2 = 4.9(10.2) = 50[/tex]
The distance the object falls is of 50 meters.
