Trouble with definition of Newton's First Law

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SUMMARY

The discussion centers on the definition of Newton's First Law as stated by a lecturer: "There exists at least one inertial frame with respect to which mass m moves in a straight line with a constant velocity. In this frame no net force acts on m." The confusion arises from the concept of inertial frames and acceleration, particularly in scenarios involving objects falling on Earth. It is clarified that if an observer falls with the object, they are in an inertial frame relative to the object, despite the object's acceleration relative to an external observer on Earth.

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Rwindsor1
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The lecturer in my dynamics class defined Newton's First Law to be 'There exists at least one inertial frame with respect to which mass m moves in a straight line with a constant velocity. In this frame no net force acts on m.'

This has confused me; I thought inertial frames could not accelerate? Therefore how can this be true if mass m is accelerating? How can the frame 'keep up'?
 
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What was the full context of the discussion. Was he referring to objects falling/acelerating on the Earth?

If you fall with the object then to someone on the Earth you and object would be accelerating. However, relative to you, you and the object are in an inertial frame of reference.

http://en.wikipedia.org/wiki/Inertial_frame_of_reference
 
Ah I see, thanks for clearing that up :)
 

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