Question

A penny dropped from the top of the Empire State building takes 8.82 seconds to reach the street. What is the height of the building?

Answer 1

the time of travel is

t = 8.82 s

the relation between the distance and the time is

given in the question that is

$\sqrt[]{d}=t\times\sqrt[]{4.9}$

put t = 8.82

$\begin{gathered} \sqrt[]{d}=8.82\times\sqrt[]{4.9} \\ \\ \end{gathered}$

square both side,

$d=8.82^2\times4.9$$d=381.18$

so the height is 381.18 m