AdilenneN101509 AdilenneN101509
  • 03-11-2022
  • Mathematics
contestada

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

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

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DonnaU308808 DonnaU308808
  • 03-11-2022

The function is given as

[tex]S=16t^2[/tex]

Given that the height of the building is

[tex]S=1497ft[/tex]

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

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

Hence,

The final answer is t= 9.7 seconds

Answer Link

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