Question

Derive Mathematical formulation of Newtons second law of motion...

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Answer 1

Answer:

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Explanation:

Second equation of motion:

s = ut + 1/2 at^2

sol.

Let the distance travelled by the body be “s”.

We know that

Distance = Average velocity X Time

Also, Average velocity = (u+v)/2

.: Distance (t) = (u+v)/2 X t …….eq.(1)

Again we know that:

v = u + at

substituting this value of “v” in eq.(2), we get

s = (u+u+at)/2 x t

=>s = (2u+at)/2 X t

=>s = (2ut+at^2)/2

=>s = 2ut/2 + at^2/2

or s = ut +1/2 at^2

This is the 2nd equation of motion.

Answer 2

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• For the mathematical derivation, we assume a moving point object of mass, m. Let its initial velocity be
• . Let its final velocity be v. The momentum of this body can be given by, p=mass×velocity.
• Therefore, the initial momentum of the body is, pi=mu.