Explain with reasons which of the following gaphs can possibly represent the motion of a particle observed in nature ?

Explanation

(a) This graph shows that with increase in time distance first increase and then decrease. However, distance can never decrease with time, so this graph is not physically possible.
(b) This graph shows that at certain instant of time `(t_(1))` the body is present at two positions. Also it shows that time first increase and then decrease. Since both these conditions cannot be realised in practice, this graph is not physically possible.