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\includegraphics[max width=\textwidth, alt={}, center]{06df8c0d-dd38-4e3b-b1a4-72120a81050e-08_759_1447_260_349} The velocity of a particle moving in a straight line is \(v \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at time \(t\) seconds after leaving a fixed point \(O\). The diagram shows a velocity-time graph which models the motion of the particle from \(t = 0\) to \(t = 16\). The graph consists of five straight line segments. The acceleration of the particle from \(t = 0\) to \(t = 3\) is \(3 \mathrm {~m} \mathrm {~s} ^ { - 2 }\). The velocity of the particle at \(t = 5\) is \(7 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and it comes to instantaneous rest at \(t = 8\). The particle then comes to rest again at \(t = 16\). The minimum velocity of the particle is \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\).

1. Find the distance travelled by the particle in the first 8 s of its motion.
2. Given that when the particle comes to rest at \(t = 16\) its displacement from \(O\) is 32 m , find the value of \(V\).