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Look at the graphs $(a)$ to $(d)$ carefully and state, with reasons, which of these cannot possibly represent one-dimensional motion of a particle.
Solution
The given $x-t$ graph, shown in (a), does not represent one-dimensional motion of the particle. This is because a particle cannot have two positions at the same instant of time.
The given $v -t$ graph, shown in (b), does not represent one-dimensional motion of the particle. This is because a particle can never have two values of velocity at the same instant of time.
The given $v -t$ graph, shown in (c), does not represent one-dimensional motion of the particle. This is because speed being a scalar quantity cannot be negative.
The given $v -t$ graph, shown in (d), does not represent one-dimensional motion of the particle. This is because the total path length travelled by the particle cannot decrease with time.
