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How Does Stopping Distance Change on a Hill? | Friction & Normal Forces

Given the stopping distance of a vehicle of a car on a level surface, solve for the stopping distance of a vehicle on a hill. The assumption is that the coefficient of friction between the tires and the road is constant. This problem utilizes both the kinematic equations as well as Newton's Laws. You need to have an understanding of the Normal Force, Force Down a Hill and more generally an understanding of how to break a vector up into its components.