Anti lock brakes. A car travels at 65 mi/h when the brakes are suddenly applied. Consider how the tires of a moving car come in contact with the road. When the car goes into a skid (with wheels locked up), the rubber of the tire is moving with respect to the road; otherwise, when the tires roll, normally the point where the tire contacts the road is stationary. Compare the distance required to bring the car to a full stop when 

(a) the car is skidding and 

(b) when the wheels are not locked up. Assume the coefficients of friction between the tires and the road are µ_K - 0.80 and µ_S - 0.90. 

(c) How much farther does the car go if the wheels lock into a skidding stop? Give your answer as a distance in meters and as a percent of the nonskid stopping distance. 

(d) Can anti lock brakes make a big difference in emergency stops? Explain.