Frame of Reference: Constant Velocity & Inertiality

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A frame of reference moving with constant velocity relative to an inertial frame is itself considered inertial. This is because an object maintaining constant velocity in one frame will also exhibit constant velocity in another frame moving at the same rate. The principle of relativity asserts that the laws of physics remain consistent across all inertial frames. Therefore, the motion observed in both frames will align, confirming the inertial nature of the moving frame. Understanding this concept is crucial for analyzing motion in different reference frames.
mr newtein
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a frame of reference is moving with a constant velocity with respect to a inertial frame of reference,then moving frame will be inertial itself?
 
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Yes, can you show why? Try beginning by showing that if an object is moving with constant velocity \vec{v} in the first frame then it will also move with a constant velocity in the second.
 
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...

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