The distance an object falls is directly propotional to the square of the time it has been falling. Afterr 6 seconds it has fallen 1296 feet. How long will it take to fall 2304 feet?
I can't even imagine how to figure tis out. I would appreciate your help.
Thanks
Since the distance fallen is proportional to the square of the time, the time required is proportional to the square root of the distance.
The distance increases by a factor 2304/1296.
Calculate the square root of that factor. Multiply that new number by 6 seconds for the time that it has been falling.
Here is another way to do it that might look simpler.
X = c t^2
X is the distance fallen.
c is a constant. t is the time
Use X = 1296 and t = 6 to solve for c.
c = 1296/36
Using that vaue of c, then solve
2304 = c t^2 for the time.
t^2 = (2304/1296)*36
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