1 A particle travels in a straight line during the time interval \(0 \leqslant t \leqslant 12\), where \(t\) is the time in seconds. Fig. 1 is the velocity-time graph for the motion.
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\caption{Fig. 1}
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- Calculate the acceleration of the particle in the interval \(0 < t < 6\).
- Calculate the distance travelled by the particle from \(t = 0\) to \(t = 4\).
- When \(t = 0\) the particle is at A . Calculate how close the particle gets to A during the interval \(4 \leqslant t \leqslant 12\).