Question

Neglecting air​ resistance, the distance s left parenthesis t right parenthesis in feet traveled by a freely falling object is given by the function s left parenthesis t right parenthesisequals16 t squared​, where t is time in seconds. The height of a certain tower is 862 feet. How long would it take an object to fall to the ground from the top of the​ building?

Answer 1

Explanation:

It is given that, the height of a certain tower is 862 feet i.e to reach on the ground the object should travel, s = 862 feet

The distance traveled by a freely falling object is given by :

$s(t)=16t^2$

$16t^2=862$

$t=\sqrt{53.875}$

t = 7.34 seconds

So, the object will take 7.34 seconds to fall to the ground from the top of the​ building. Hence, this is the required solution.