The position of a particle at any time is given by.
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The position of a particle at any time is given by,

$S_{(t)}=\frac{V_{0}}{a}\left(1-e^{-a t}\right), \text { where }$

$a>0$ and $V _{0}$ are constants. What are the dimension of $a$ and $V _{0}$ ?
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Answer : $\left[ M ^{0} L ^{0} T ^{-1}\right] ;\left[ M ^{0} LT ^{-1}\right]$

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