Question

Neglecting air resistance, the distance h(t) in feet traveled by a freely falling object is given by the function , where t is time in seconds. The height of a certain tower is 912 feet. How long would it take an object to fall to the ground from the top of the building? Round to nearest 0.1 second

Answer 1

t = 7.54 seconds

Explanation:

The distance h(t) in feet traveled by a freely falling object is given by the function :

`h(t)=16t^2`

The height of a tower is 912 feet.

It is required to find the time it will taken to fall on ground from the top of the building. It can be calculated as :

`16t^2=912\\\\t=\sqrt{(912)/(16)}\\\\t=7.54\ s`

So it will taken 7.54 seconds to fall on the ground.