The distance D (in feet) required for a moving vehicle to come to a complete stop on dry pavement is a power function, with power = 2, of the speed s of the vehicle (in mph) at the moment that the brakes are applied. (a)  If a van driver hits the brakes while driving at 40 mph and comes to a complete stop in 32 feet, use this to determine a formula for D in terms of s. (b) If one’s speed increases 50%, how much does the stopping distance in- crease? Use the homogeneity principle to answer this question.

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  1. The distance D (in feet) required for a moving vehicle to come to a complete stop on dry pavement is a power function, with power = 2, of the speed s of the vehicle (in mph) at the moment that the brakes are applied.

    (a)  If a van driver hits the brakes while driving at 40 mph and comes to a complete stop in 32 feet, use this to determine a formula for D in terms of s.

    (b) If one’s speed increases 50%, how much does the stopping distance in- crease? Use the homogeneity principle to answer this question.

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