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

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Question 19230: 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? I figured 1296 = x(6)square but not able to complete.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Write the proportion:
d+=+kt%5E2 d = distance, t = time. Need to find the value of k. Substitute the given values of d (1296 ft.) and t (6 seconds) and solve for k.
1296+=+k%286%29%5E2
1296+=+k%2836%29 Divide both sides by 36.
k+=+36
d+=+36t%5E2 Substitute d = 2304 and solve for t.
2304+=+36t%5E2 Divide both sides by 36.
t%5E2+=+64 Take the square root of both sides.
t+=+8
The object takes 8 seconds to fall 2304 feet.