Derive the Newton's first law from mathematical expression of second law
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Newton's first law states that a body stays at rest if it is at rest and moves with a constant velocity unit if a net force is applied on it. Newton's second law states that the net force applied on the body is equal to the rate of change in its momentum. That is, when F = 0, v = u for whatever time, t is taken.
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u = v
Explanation:
According to Newton's 2nd law
f = ma
if f = 0 then ma = 0
so a=0 => (v-u)/t = 0 => u = v
the body may be at rest or in uniform motion in straight line when external force is absent
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