Braking distance for cars on level pavement can be approximated by D(x) = x 2 /30k The

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Braking distance for cars on level pavement can be approximated by D(x) = x2/30k The input x is the car's velocity in miles per hour and the output D(x) is the braking distance in feet. The positive constant k is a measure of the traction of the tires. Small values of k indicate a slippery road or worn tires.

(a) Let k = 0.3. Evaluate D(60) and interpret the result. 

(b) If k = 0.25, find the velocity x that corresponds to a braking distance of 300 feet.

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