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The acceleration of a particle is found to depend upon time as follows

$f=A t+B t^{2}+\frac{C t}{D+t^{2}}$

then calculate the dimension of $A, B, C$ and $D$.

Ans. : $\left[ LT ^{-3}\right] ;\left[ LT ^{-4}\right] ;\left[ LT ^{-1}\right] ;\left[ T ^{2}\right]$.

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