derivation - equation of motion by graphical method

## EXPERT ANSWER

Here is the derivation of the equations of motion by graphical method. Follow the graph:

Let us suppose that * v * _{ 0 } is the initial velocity of the particle, at time t = 0, and * v * be the velocity of the particle at t = * t. *

The acceleration * a * of the particle can be written as,

This is the 1 ^{ st } kinematic equations for uniformly accelerated motion.

Suppose, the particle travels a distance * x * in the time * t * .

The area of blue colored part gives the distance covered * x * .

So,

This is the 2 ^{ nd } equation.

Now, for the 3 ^{ rd } equation we shall modify the equation:

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