Car A starts from rest at the origin, accelerates uniformly at 1.5m s−2 for the first 8s and then continues at the constant speed it has reached. Car B is 30m ahead of the origin at t=0 and moves with a constant speed of 6m s−1 in the same direction. Neglecting any turns or stops, at what time after the start will car A overtake car B?
a) 10s
b) 13s
c) 5s
d) 11.5s