Question

Derive first law pf motion through second law of motion

Answer 1

It is impossible to derive 1st law of motion through 2nd law of motion. Because of

Newton's first law of motion, states that a body continues to be in a state of rest or of uniform motion in a straight line unless it is acted upon by a net external Force. and

Newton's second law of motion, states that the rate of change of momentum is directly proportional to the net force acting on the body.
F = ma

Answer 2

Explanation:

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.

F = ma

F = maor F = m(v-u) / t

F = maor F = m(v-u) / tor Ft = mv - mu

That is, when F = 0, v = u for whatever time, t is taken. This means that the object will continue moving with uniform velocity, u throughout the time, t. If u is zero than v will also be zero, i.e., object will remain at rest.