SOLUTION: The distance an object falls is directly proportional to the square of the time it has been falling. After 6 seconds it has fallen 1296 feet. How long will it take to fall 2304 fee

Question 128639: The distance an object falls is directly proportional to the square of the time it has been falling. After 6 seconds it has fallen 1296 feet. How long will it take to fall 2304 feet?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
First write the equation of variation:
k is the constant of variation, d is the distance, and t is the time the object has been falling.
To find the value of k, substitute the given values of t = 6 secs. and d = 1296 ft.

Divide both sides by 36.
Now write the equation as:
Substitute the given values of d = 2304 ft.
Divide both sides by 36.
Take the square root of both sides.
Use only the positive value.
It will take 8 seconds for the object to fall 2304 feet.
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