SOLUTION: On planet X, an object falls 18 feet in 3 seconds. Knowing the distance it falls varies directly with the square of the time fall, how long does it take an object to fall 100 feet?

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Question 977570: On planet X, an object falls 18 feet in 3 seconds. Knowing the distance it falls varies directly with the square of the time fall, how long does it take an object to fall 100 feet? Round your answer to three decimal places.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
the distance it falls varies directly with the square of the time fall
D = kT^2
Find k
18 = k3^2
18 = k9
k = 2
Formula now:
D = 2T^2
100 = 2t^2
T^2 = 50
T = square root of 50
T = 7.071 seconds (3 decimal places)
Hope this helps:-)