When the patrol car in Problem 122 (traveling at 190 km/h) pulls to within 100 m behind the speeder (traveling at 125 km/h), the speeder sees the police car and slams on his brakes, locking the wheels. 

(a) Assuming that each car can brake at 6 m/s² and that the driver of the police car brakes instantly as she sees the brake lights of the speeder (reaction time = 0 s), show that the cars collide. 

(b) At what time after the speeder applies his brakes do the two cars collide? 

(c) Discuss how reaction time affects this problem.