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

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#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.