SOLUTION: On planet X, an object falls 17 feet in 3 seconds. Knowing the distance it falls varies directly with the square of the time of fall, how long does it take an object to fall 96 fee
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Question 761989: On planet X, an object falls 17 feet in 3 seconds. Knowing the distance it falls varies directly with the square of the time of fall, how long does it take an object to fall 96 feet? Round your answer to three decimal places.
Thank you for helping me with this word problem. Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! Distance varies directly with the square of the time of fall.
D = kT^2
k = constant of variation
Finding k
17ft = k 3^2 secs
17ft = k9ft
17/9 = k
k = 1.8889
Formula:
D = 1.8889T^2
96ft = 1.8889T^2
t^2 = 96/1.8889
t^2 = 50.8232
t =
t = 7.129 seconds
Hope this helps.
:-)
