33. The driver of a 1 × 10³ kg car traveling on the interstate at 35 m/s slams on his brakes to avoid hitting a second vehicle in front of him, which had come to rest because of congestion ahead (See figure below). After the brakes are applied, a constant kinetic friction force of magnitude 8 x 10°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 m, at what speed would the collision occur?​