Which of the following graphs cannot possibly represent one dimensional motion of a particle?
It is a fact that in one-dimensional motion, the object cannot have at a time two different position or velocity.
In (i) and (ii) the object is shown at two different positions at a specific time interval which cannot happen in a one-dimensional motion
In (iii) the speed of the particle is negative in some time interval, which cannot happen
In (iv) the total path length is decreasing too in some time interval, which is again not possible with one-dimensional motion.
So, all four are not possible in one-dimensional motion.
Option D is correct.