Question

You want to verify the height of a balcony. You drop something off of the balcony. It takes 2.7 seconds to reach the ground. How high is the balcony?

Answer 1

Given data

*The time to reach the ground is t = 2.7 s

*The value of the acceleration due to gravity is g = 9.8 m/s^2

The formula for the height of the balcony is given by the equation of motion as

`h=(1)/(2)gt^2`

Substitute the known values in the above expression as

`\begin{gathered} h=(1)/(2)(9.8)(2.7)^2 \\ =35.7\text{ m} \end{gathered}`

Hence, the height of the balcony is h = 35.7 m