It is about Uniform Accelerated Motion.. How do you derive the equations?? The four kinematic equations??

The two equations that you derive by integration are all that you really need for constant acceleration:

v = v_0 + at

x = x_0 + v_0 t + \frac{1}{2}at^2

provided that you're willing to solve them together with two unknowns for certain problems. The other one-dimensional kinematic equations are derived by solving these two, using different pairs of unknown quantities.

MPolo

These equations all starts from two basic definitions:


\vec v(t) = \frac {d \vec {x}(t)} {dt}


and


\vec a (t) = \frac { d \vec {v} (t)} {dt}