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*\sqrt[]{4.9}`

put t = 8.82

`\begin{gathered} \sqrt[]{d}=8.82*\sqrt[]{4.9} \\ \\ \end{gathered}`

square both side,

`d=8.82^2*4.9`
`d=381.18`

so the height is 381.18 m