Question

The height of a building is 1497 feet . How long would it take for an object to fall from the top

Answer 1

The function is given as

`S=16t^2`

Given that the height of the building is

`S=1497ft`

To calculate the value for time (t), we will substitute the value of S=1497 ft in the function above

`\begin{gathered} S=16t^2 \\ 1497=16t^2 \\ 16t^2=1497 \\ \text{Divide both sides by 1}6 \\ (16t^2)/(16)=(1497)/(16) \\ t^2=93.5625 \\ \text{squareroot both sides} \\ t=\sqrt[]{93.5625} \\ t=9.67 \\ t\approx9.7\sec onds \end{gathered}`

Hence,

The final answer is t= 9.7 seconds