Question

derive any two equation motion by calculus method

Answer 1

I think you are talking about Newton's 3rd equation of motion. It consists final velocity (v), initial velocity(u), displacement (s) and constant acceleration (a). The equation is as follows-

v²= u²+2as

Actually I don't know how to derive it. But here is some hints are provided.

You want it by integration.(v² - u²) /2 indicates the integration of v dv limit u to v.

Here is the proof -

a= dv/dt……1

v=ds/dt……….2

from 1 & 2:

a ds/dt = v dv/ dt

implies a ds =v dv

after integration you will get 3rd equation.

Hope It will helps you

Thanks you