SOLUTION: The distance it takes to stop a car varies directly as as the square of the speed of the car. It takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is

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Question 102978: The distance it takes to stop a car varies directly as as the square of the speed of the car. It takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 62 miles per hour?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Distance+=+k+%2A+Speed%5E2 where k is some constant.
112=k%2A%2840%29%5E2 Use the values provided to calculate k.
k=112%2F40%5E2Multiplicative inverse of 40%5E2
k=0.07 with units of feet%2F%28mph%29%5E2
Your equation is then
Distance+=+0.07+%2A+Speed%5E2
For a speed of 62 mph,
Distance+=+0.07+%2A+62%5E2
Distance = 269.1 feet