The velocity of a particle depends upon time | vedclass

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(A) According to the principle of homogeneity of dimensions,only physical quantities with the same dimensions can be added or subtracted.Since $v$ is

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$m/s$

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(A) According to the principle of homogeneity of dimensions,only physical quantities with the same dimensions can be added or subtracted.Since $v$ is velocity and $v = a + bt + ct^2$,the dimensions of each term on the right-hand side must be equal to the dimensions of velocity $(v)$.Therefore,the dimension of $a$ must be equal to the dimension of $v$.Since the unit of velocity $v$ is $m/s$,the unit of $a$ must also be $m/s$.

The velocity of a particle depends upon time as $v = a + bt + ct^2$. If the velocity is in $m/s$,the unit of $a$ will be:

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