Find minimum stopping distance of a car

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evan b
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1. Homework Statement

It takes a minimum distance of 66.64 m to stop a car moving at 14.0 m/s by applying the brakes (without locking the wheels). Assume that the same frictional forces apply and find the minimum stopping distance, when the car is moving at 32.0 m/s.




The Attempt at a Solution



i'm confused on what to do here... i thought it might be as simple as setting them equal to each other and solving for the distance. we know the mass of the car is the same so that isn't a factor. for the first we know Vi=14 m/s and Vf = 0, and the second time its velocity is Vi=32 m/s and Vf = 0. I'm not sure where to go from here...
 
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