Two cars are being driven at the same speed v, one behind the other, with a distance d between them. The first driver jams on her brakes and decelerates at a rate a = 6 m/s². The second driver sees the brake lights of the first driver and reacts, decelerating at the same rate starting 0.5 s later.

(a) What is the minimum distance d such that the two cars do not collide?

(b) Express this answer in meters for v = 100 km/h (62 mi/h).