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An accepted relationship between stopping distance, d in feet, and the speed of a car, v in mph, is d(v) = 1.3 v plus 0.05

An accepted relationship between stopping distance, d in feet, and the speed of a car, v in mph, is

d(v) = 1.3 v plus 0.05 v squared on dry, level concrete.

(a) How many feet will it take a car traveling 40 mph to stop on dry, level concrete?

(b) If an accident occurs 200 feet ahead, what is the maximum speed at which one can travel to avoid being involved in the accident?

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