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 2304 feet? Pl

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Question 203244This question is from textbook
: 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 2304 feet? Please show all work. I get 10.58 seconds. But I don't think it is right. Any help will be greatly appreciated This question is from textbook

Answer by ankor@dixie-net.com(22740)   (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.
After 6 seconds it has fallen 1296 feet.
How long will it take to 2304 feet? Please show all work.
:
Use a ratio equation
Let t = time to fall to 2304 ft
=
=
Cross multiply:
1296t^2 = 36*2304
:
1296t^2 = 82944
t^2 =
t^2 = 64
t =
t = 8 seconds

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