Physics

Problem

A motorcycle is moving at

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}

96\,\text{m}

120\,\text{m}

156\,\text{m}