Is Newton's first law a particular case of the second?

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SUMMARY

Newton's first law of motion, which states that a body remains at rest or in uniform motion unless acted upon by an external force, is fundamentally a specific case of Newton's second law. The second law, defined as F=ma, implies that when the net force (F) is zero, the acceleration (a) is also zero, leading to constant velocity. The first law serves to emphasize the concept of inertial frames, which are essential in classical mechanics, establishing a foundational understanding of motion without external forces.

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Hobold
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There is not much to explain my question, really. First law says that the velocity of a body remains constant if there is no external force acting, which is just equivalent to second law, as a null force is equivalent to null acceleration, as mass cannot be null.
 
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Yep. I think the first law is only there to draw emphasis to this particular case.
 
mathematically you can get first law from the second, but I think there is more to first law than that.First law provides definition of inertial frames and classical mechanics assumes the existence of such frames.
 

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