SOLUTION: I don't know how far I am with the answer, but I got 28 feet. The question is: The distance an object falls is directly proportional to the square of the time it has been falling.

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Question 147231This question is from textbook algebra
: I don't know how far I am with the answer, but I got 28 feet.
The question is: 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.
Please and Thank you=) This question is from textbook algebra

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I can say:
1296+=+k%2A6%5E2
That's what proportional means. k is some fixed
constant that is always true for the falling object.
It must also be true that
2304+=+k%2At%5E2 where t is the time since it started to fall
I can find k from the 1st equation
1296+=+36k
k+=+36
Now plug this into the 2nd equation
36t%5E2+=+2304
t%5E2+=+64
t+=+8
It will take 8 sec for the object to fall 2304 ft