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A specific reference frame that describes its coordinates in a manner that does not depend on time and is isotropic.

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Why is acceleration the same in both frames in a Galilean transformation?

In the Galilean transformation, the velocity $V$ in $r' = r - Vt$ is constant. A derivative of a constant is $0$. In detail: $$ \begin{equation} \frac{d^2}{dt^2} (r-Vt) = \frac{d^2r}{dt^2} - \frac{d …
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