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Newton's Second Law

The rate of change of momentum of a body is directly proportional to the impressed force and takes place in the direction of the force.

Already stated p=mv where p is momentum of body of mass m moving with velocity v.

According to second law of Newton

F a D P/ D T

But

D P = D mv

Therefore,

F a D mv / D T

D m = 0

since change in mass of body is zero

Thus,

F a m D v / D T

a is acceleration

hence F = ma

Above equation is the consequence of second law prominently used in physics.

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