The position of a particle at time t is given by the relation xt- v0- - 1-e- t where v0 is a constant and -0- Find the dimensions of v0 and -

Dimension of α t=M^0L^0T^0 ⇒ Dimension of α = M^0L^0T^ 1 Dimension of v_0/α=L^1 ⇒ Dimension of v_0=M^0L^1T^ 1 ...

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The position of a particle at time $t$ is given by the relation $x (t) = (\begin{matrix} \frac{v_{0}}{α} \end{matrix}) (1 - e^{- α t})$ where $v_{0}$ is a constant and $α > 0$ . Find the dimensions of $v_{0}$ and $α$ .

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