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A car is traveling on a level road with speed v_{0} at the instant when the brakes lock, so that the tires slide rather than roll.

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Use the work-energy theorem to calculate the minimum stopping distance of the car in terms of v_{0}, g, and the coefficient of kinetic friction _{k} between the tires and the road.

By what factor would the minimum stopping distance change if the coefficient of kinetic friction were doubled ?

By what factor would the minimum stopping distance change if the initial speed were doubled?

By what factor would the minimum stopping distance change if both the coefficient of kinetic friction and the initial speed were doubled?