A car moving at some speed hits the brakes and skids to a stop after 11 m on a level road. If the coefficient of friction for the road conditions of wet asphalt is 0.53, what was the car's original speed before braking?

Question

A car moving at some speed hits the brakes and skids to a stop after 11 m on a level road.  If the coefficient of friction for the road conditions of wet asphalt is 0.53, what was the car's original speed before braking?

I have used multiple modes to find the answer and have solved for velocities ranging from 14-78.

Please help?

Henry · Answer

u = a/g a = u*g = 0.53*(-9.8) = -5.194 m/s^2 V^2 = Vo^2 + 2a*d = 0 Vo^2 = 2*5.194*11 = 114.3 Vo = 10.7 m/s.