Look at the graphs $(a)$ to $(d)$ carefully and state,with reasons,which of these cannot possibly represent one-dimensional motion of a particle.

(ALL OF THE ABOVE) 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 speed-time graph,shown in $(c)$,does not represent one-dimensional motion of the particle. This is because speed is a scalar quantity and cannot be negative.
The given total path length-time graph,shown in $(d)$,does not represent one-dimensional motion of the particle. This is because the total path length (distance) travelled by a particle can never decrease with time.