A particle $$\(P\)$$ moves in a straight line. The velocity $$\(v \mathrm{~m} \mathrm{~s}^{-1}\)$$ at time $$\(t \mathrm{~s}\)$$ is given by $$\[ \begin{array}{ll} v=2 t+1 & \text { for } 0 \leqslant t \leqslant 5, \\ v=36-t^{2} & \text { for } 5 \leqslant t \leqslant 7, \\ v=2 t-27 & \text { for } 7 \leqslant t \leqslant 13.5 . \end{array} \]$$ Sketch the velocity-time graph for $$\(0 \leqslant t \leqslant 13.5\)$$.

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