A particle is moving in a straight line with constant velocity of \(6\text{ m s}^{-1}\). At time \(t=0\), it passes a fixed point \(A\). At time \(t=5\) it suddenly changes direction and moves with a different constant velocity along the same straight line. It passes the point \(A\) again at time \(t=15\). Sketch the velocity–time graph for the motion.[3]
Another particle is moving in a straight line with constant acceleration. At time \(t=0\) it passes a fixed point \(B\) with velocity \(-8\text{ m s}^{-1}\). It passes the point \(B\) again at time \(t=20\). Sketch the velocity–time graph for the motion.[3]
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Answer:(a) \(v=6\) until \(t=5\), then \(v=-3\) until \(t=15\). (b) \(v=0.8t-8\), from \((0,-8)\) to \((20,8)\).