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At the scene of an accident, skid marks from a car coming to a stop are...

At the scene of an accident, skid marks from a car coming to a stop are measured as 23.5m long. The posted speed limit is 45 mph and you need to brake on a downhill section of a road which makes angle θ with the horizontal.

Find the force in the direction of your displacement. (final answer does not contain normal force). Also, use the Work-Energy Theorem with this force to find the distance required to come to a complete stop.

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