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(C) For a particle moving in a straight line,at any given instant of time $t$,there can be only one unique value of velocity $v$. In graph $(i)$,for a

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$(ii)$ and $(iv)$ only

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(C) For a particle moving in a straight line,at any given instant of time $t$,there can be only one unique value of velocity $v$. In graph $(i)$,for a single value of time $t$,there are multiple values of velocity $v$,which is physically impossible. In graph $(ii)$,the velocity varies continuously with time,which is possible. In graph $(iii)$,the velocity changes abruptly (discontinuously),which implies infinite acceleration at those points. While theoretically possible in idealized models,it is generally considered non-realizable for a physical particle. In graph $(iv)$,the velocity varies continuously and can take positive,zero,or negative values,which is physically possible. Therefore,only graphs $(ii)$ and $(iv)$ represent physically realizable motion.

The following figures show velocity $v$ versus time $t$ curves. But only some of these can be realized in a particle. These are:

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