Definition:Rate of Change/Dimension
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Definition
Let a physical quantity $P$ have dimension $\mathsf D$.
Then the rate of change of $P$ with respect to time has dimension $\mathsf {D T}^{-1}$.
Let a physical quantity $P$ have dimension $\mathsf D$.
Then the rate of change of $P$ with respect to time has dimension $\mathsf {D T}^{-1}$.