Question
State, with reasons, which of the following graphs cannot possibly represent one dimensional motion of particle:
Solution
One-dimensional motion of the particle is represented by graphs (b) and (d).
But, (a), (c), (e) and (f) cannot represent the motion of particle because,
(a) a particle cannot have two velocities at the same time,
(c) a particle cannot have two positions simultaneously at the same time,
(e) total length of path can never decrease with time and
(f) a particle cannot have two different accelerations at the same time.
