SOLUTION: The distance that a free falling object falls is directly proportional to the square of the time it falls (before it hits the ground). If an object fell 6060 ft in 44 seconds, how

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The distance that a free falling object falls is directly proportional to the square of the time it falls (before it hits the ground). If an object fell 6060 ft in 44 seconds, how      Log On


   



Question 1058417: The distance that a free falling object falls is directly proportional to the square of the time it falls (before it hits the ground). If an object fell 6060 ft in 44 seconds, how far will it have fallen by the end of 99 seconds? (Leave the variation constant in fraction form or round to at least 2 decimal places. Round your final answer to the nearest foot.)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The distance that a free falling object falls is directly proportional to the square of the time it falls (before it hits the ground).
If an object fell 6060 ft in 44 seconds, how far will it have fallen by the end of 99 seconds?
(Leave the variation constant in fraction form or round to at least 2 decimal places. Round your final answer to the nearest foot.)
k(44^2) = 6060
1936k = 6060
k = 6060%2F1936 reduces to 1515%2F484
" how far will it have fallen by the end of 99 seconds?"
d = 1515%2F484*99%5E2
d = 30,678.75 ft