The driver of a 1.01 103 kg car traveling on the interstate at 35.0 m/s (nearly 80.0 mph) slams on his brakes to avoid hitting a second vehicle in front of him, which had come to rest because of congestion ahead. After the brakes are applied, a constant kinetic friction force of magnitude 7.90 103 N acts on the car. Ignore air resistance.
(a) At what minimum distance should the brakes be applied to avoid a collision with the other vehicle?
(b) If the distance between the vehicles is initially only 30.0 m, at what speed would the collision occur?