(NONE) This graph shows that with an increase in time,the distance first increases and then decreases. However,distance is a scalar quantity and can never decrease with time for a moving particle,so this graph is not possible.
$(B)$ This graph shows that at a certain time $t_{1}$,the body is present at two different positions simultaneously. Since a particle cannot be at two places at the same time,this graph is not possible.
$(C)$ This graph shows that speed is negative for some interval of time. Since speed is the magnitude of velocity and is always non-negative,this graph is not possible.
$(D)$ This graph shows that at a given instant of time,the particle has two different velocities. Additionally,it shows that at some time,it has infinite acceleration (where the graph is parallel to the velocity axis). Both these conditions cannot be achieved in practice; therefore,this graph is not possible.
Conclusion: None of the given graphs represent the motion of a particle observed in nature.