Question

(a) State Newton's second law of motion and show that the first law of motion can be
mathematically stated from the mathematical expression for the second law of motion
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Answer 1

Newton's second law states that the net force applied on a body is equal to the rate of change in  its momentum.

So, if the net force, F is zero, change in the value of v is be zero i.e., a body at rest will be at rest and a body moving with constant velocity will continue with the same velocity, until a net force is applied. This conclusion is similar to the Newton’s first law of motion.

 

Thus, we can derive Newton’s first law of motion using Newton’s second law of motion.