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The speed of a particle as a function of time is represented by $V=A_{1}$ $\cos A _{2} t$. What are the dimention and S. I. units of constant $A _{1}$ and $A _{2}$?

Ans : $\left[ LT ^{-1}\right]$ and $\left[ T ^{-1}\right]$; their S. I. units are m / sec and radian/sec.

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