SOLUTION: can you please help me answer the following: (((The distance an object falls is directly proportional to the square of the time it has been falling. After 6 seconds it has fallen 1

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Question 180349This question is from textbook algbra structure and method
: can you please help me answer the following: (((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? )))This question is from textbook algbra structure and method

Answer by stanbon(57424) About Me  (Show Source):
You can put this solution on YOUR website!
The distance an object falls is directly proportional to the square of the time it has been falling.
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d = k(t^2)
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After 6 seconds it has fallen 1296 feet.
Solve for "k":
1296 = k(6^2)
k = 36
So the equation for this situation is d = 36t^2
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How long will it take to fall 2304 feet?
2304 = 36t^2
t^2 = 64
t = 8 seconds
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Cheers,
Stan H.