# Look at the graphs (a) to (d) carefully and state

#1

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

#2

(a) No, graph (a) is not representing one-dimensional motion of a particle, because graph shows two different positions of the particle at same instant of time. (At time \${ t }{ 1 }\$, particle is at positions P and Q and at time
\${ t }
{ 2 }\$, particle is at positions R and S), which is not possible.

(b) No, graph (b) cannot represent one-dimensional motion of a particle, because graph shows one positive velocity (\${ v }{ 1 }\$) and another negative velocity
(-\${ v }
{ 2 }\$) of the particle at the same instant of time {
\${ t }{ 1 }\$) which is not possible.

© No, graph © cannot represent one-dimensional motion of a particle, because graph shows negative speed of the particle but speed cannot be negative.

{d) No, graph (d) cannot represent one-dimensional motion of a particle, because graph shows that total path length increases from time t = 0 to t =\${ t }
{ 1 }\$, but decreases from t =
\${ t }{ 1 }\$ to t =
\${ t }
{ 2 }\$. But total path length of a moving particle can never decrease with time.