Derive the mathematical relation of Newton’s second law of motion

Derive the mathematical relation of Newton’s second law of motion

Answer:
Consider an object of mass m moving along a straight line with an initial velocity u (say). It is uniformly accelerated to velocity u in time t by the application of a constant force F in time t.
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Thus, the second law of motion gives a method to measure the force acting on an object as a product of its mass and acceleration.