Question

The distance s s that an object falls varies directly with the square of time, t t, of the fall. If an object falls 16 16 feet in one second, how long for it to fall 256 256 feet

Answer 1

It will take 16 seconds to fall 256 feet.

Explanation:

The distance s that an object falls varies directly with the square of time t of the fall i.e.

`s=kt`

Where

k is the constant of proportionality

An object falls 16 feet in one second, it means,

16 feet = 1 second

1 feet = (1/16) seconds

To fall 256 feet,

`t=(256)/(16)\\\\t=16\ s`

So, it will take 16 seconds to fall 256 feet.