Question

Derive the newton's first law of motion from the mathematical expression of the second law of motion.

Answer 1

1st Law states that an object will continue without a change in motion (constant velocity) if there are no outside forces.
2nd Law states that to have an acceleration, there must be an outside force.
∑
F
=
m
⋅
a
If F = 0
∑
F
=
m
⋅
a
becomes
0
=
m
⋅
a

0
=
a
And if there is no acceleration, there is no change in motion (1st law).