SOLUTION: The distance an object falls is directly proportional to the square of the time it has been falling.  After 8 seconds it has fallen 2304 feet.  How long will it take to fall 900 fe

Algebra ->  Equations -> SOLUTION: The distance an object falls is directly proportional to the square of the time it has been falling.  After 8 seconds it has fallen 2304 feet.  How long will it take to fall 900 fe      Log On


   



Question 288730: The distance an object falls is directly proportional to the square of the time it has been falling.  After 8 seconds it has fallen 2304 feet.  How long will it take to fall 900 feet?
Can you please help....
Patty

Answer by texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
If D is directly proportional to the square of the time (t), then we can set up this equation:

D=at%5E2

Where a is the proportionality constant. To solve for a, just use the information they gave you, with D=2304 and t=8 seconds.

2304=a%288%29%5E2
2304=64a
a=36

Now use this constant with the distance of D=900 to find the corresponding time:

900=36t%5E2
25=t%5E2
t=5

The time it takes to fall 900 feet is 5 seconds.