SOLUTION: The length of the skid mark of an automobile sliding to a stop is directly proportional to the square of the velocity. It was found that a car traveling 60 miles per hour left a s

Algebra ->  Proportions -> SOLUTION: The length of the skid mark of an automobile sliding to a stop is directly proportional to the square of the velocity. It was found that a car traveling 60 miles per hour left a s      Log On


   



Question 236956: The length of the skid mark of an automobile sliding to a stop is directly proportional to the square of the velocity. It was found that a car traveling 60 miles per hour left a skid mark 172 feet in length when attempting to stop. Find the length of the skid marks of a car traveling 50 miles per hour.
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let L= skid length in ft,,,,v= veolcity in MPH
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L=kv^2
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subst data given,,,,,172 = k (60)^2,,,,,,,k= 172/60^2 = .0477
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proportion becomes,,,L= .0477 v^2
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for v=50,,,,,L = .0477 * 50^2 = 119.44 ft
.
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checking,,,, 119.44/50^2 = .0477,,,,ok