A motorcycle is moving at

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

Problem

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

. It slows down with a constant deceleration of

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

until its speed becomes

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

. Immediately after, it accelerates uniformly at

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

for

6\,\text{s}

. Determine the total distance travelled during these two phases. (a)

138\,\text{m}

(b)

96\,\text{m}

(c)

120\,\text{m}

(d)

156\,\text{m}