A car is traveling at 30 m/s along a horizontal road. The coefficients of friction between the road and tires are μs = 0.5 and k = 0.3. How far does the car travel before stopping if: a) The car is braked firmly so that the wheels almost slip. b) The car is braked hard so that the wheels lock.

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The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”