Car A starts from rest at the origin

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Car A starts from rest at the origin, accelerates uniformly at

1.5\,\text{m s}^{-2}

for the first

8\,\text{s}

and then continues at the constant speed it has reached. Car B is

30\,\text{m}

ahead of the origin at

t=0

and moves with a constant speed of

6\,\text{m s}^{-1}

in the same direction. Neglecting any turns or stops, at what time after the start will car A overtake car B? (a)

10\,\text{s}

(b)

13\,\text{s}

(c)

5\,\text{s}

(d)

11.5\,\text{s}