Consider a car of mass m moving with an initial speed Vo on a straight, flat road. At time t=0, the driver fully applies the breaks to avoid colliding with debris in the road in front of the car. The car’s wheels lock, causing the car to slide on the roadway until the car stops, before running over the debris. The distance that the car slides is D. The coefficient of kinetic friction between the car’s tires and the roadway is a constant value of Uk. A) Sketch a free body diagram for the car sliding to rest and write Fnet equations

A) does the value D increase or decrease with increasing initial speed?

B) does the value D increase or decrease with increasing the coefficient of friction?

C) derive an equation for the acceleration of the car in terms of Uk and physical consonants