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 :

Answer:

It will take 16 seconds to fall 256 feet.

Step-by-step explanation:

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

[tex]s=kt[/tex]

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,

[tex]t=\dfrac{256}{16}\\\\t=16\ s[/tex]

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

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