SOLUTION: The stopping distance d of a car after the breaks are applied varies directly as the square of the speed r. If a car traveling 40 mph can stop in 90 ft, how many feet will it take

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The stopping distance d of a car after the breaks are applied varies directly as the square of the speed r. If a car traveling 40 mph can stop in 90 ft, how many feet will it take       Log On


   



Question 517035: The stopping distance d of a car after the breaks are applied varies directly as the square of the speed r. If a car traveling 40 mph can stop in 90 ft, how many feet will it take the same car to stop when it is traveling 60mph?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The stopping distance d of a car after the breaks are applied varies directly as the square of the speed r.
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d = k*r^2
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If a car traveling 40 mph can stop in 90 ft, how many feet will it take the same car to stop when it is traveling 60mph?
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Solve for "k" using "a car traveling 40 mph can stop in 90 ft":
90 = k*40^2
k = 90/40^2
k = 0.0563
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Equation:
d = 0.0563*r^2
how many feet will it take the same car to stop when it is traveling 60mph?
d = 0.0563*60^2 = 202.5 feet
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Cheers,
Stan H.