Look at the graphs (a) to (d) carefully and state, with reasons, which of these cannot possibly represent one-dimensional motion of a particle.
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Solution
All the four graphs are impossible. (a) A particle cannot have two different positions at the same time; (b) A particle cannot have velocity in opposite directions at the same time; (c) Speed is always non-negative; (d) Total path length of a particle can never decrease with time . (Note, the arrows on the graphs are meaningless).