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

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> 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      Log On


   

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) 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.
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
6%5E2%2Ft%5E2 = 1296%2F2304
36%2Ft%5E2 = 1296%2F2304
Cross multiply:
1296t^2 = 36*2304
:
1296t^2 = 82944
t^2 = 82944%2F1296
t^2 = 64
t = sqrt%2864%29
t = 8 seconds