15 A particle is moving in a straight line such that its velocity, \(v \mathrm {~m} \mathrm {~s} ^ { - 1 }\), changes with respect to time, \(t\) seconds, as shown in the graph below.
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15
- Show that the acceleration of the particle over the first 4 seconds is \(3.5 \mathrm {~ms} ^ { - 2 }\)
15
- The particle is initially at a fixed point \(P\)
Show that the displacement of the particle from \(P\), when \(t = 9\), is 62 metres.