Show mathematically that Newton's first law of motion can be proved from mathematical expression of Newton's second law of motion.
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Newton's second law of motion states that the acceleration of a system is directly proportional to and in the same direction as the net external force acting on the system, and inversely proportional to its mass. ... The object experiences an acceleration due to gravity g: w = mg.
Newton’s second law of motion:
the net external force Fnet on an object with mass m is proportional to and in the same direction as the acceleration of the object, a, and inversely proportional to the mass; defined mathematically as
a
=
F
net
m
system
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