# State Newtonâ€™s second, law of motion. Express it mathematically

Newton's second law of motion: The rate of change of momentum of a body is directly proportional to the unbalanced force applied in the direction of the force.

If a body of mass m is moving with initial velocity u along a straight line. It is uniformly accelerated to a velocity v by applying a force for time t then, the rate of change of momentum = force applied. That is force applied

$F=\frac{m(v-u)}{t}=ma$

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