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 f

Question 7249: 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!
Let d = the distance the object has fallen.
Let t = the time it takes for the object to fall distance, d.
Then, you can write:
Now you need to find the value of k. Substitute the given values of t = 6 secs. and d = 1296 ft.

Divide both sides by 36.

Now you need to find the time, t, the object takes to fall 2304 ft. Solve the distance formula for t.
Substitute d = 2304 and k = 36 and solve for t.

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