Graphical Derivation of all 3 Equations of Motion

Our 3 equations of motion are

v = u + at

s = ut + 1 / 2at
^{
2
}

v
^{
2
}
- u
^{
2
}
= 2as

Let's suppose an object with initial velocity u to final velocity v in time t. Let's derive all 3 equations

Here,

Initial velocity = u = OA = CD

Final velocity = v = BD

Time taken = t = OD = AC

## First Equation of Motion

## Second Equation of Motion

## Third Equation of Motion