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

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(75887) (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
====================
Cheers,
Stan H.
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