1. A particle is moving along a straight horizontal line.

The particle starts at rest and then accelerates at $1.2m{s}^{-2}$ for 5 seconds. It then moves at a constant speed until it has covered an additional 42 m.

The particle then accelerates at a constant $−0.5m{s}^{2}$ until its velocity is $1.5m{s}^{-1}$. It remains at this velocity for 5 seconds before taking a further 6 seconds to come to rest at a uniform rate.

Sketch the velocity-time graph of the particle's motion.