Question

Derive the expression for all 3
kinematic equations (equations of motion).
​

Answer 1

Equations of motion :-

We have three equations of motion :

• v = u + at .
• s = ut + ½at².
• 2as = v² - u² .

Where ,

• s is Displacement.
• v is final Velocity.
• u is Initial velocity.
• a is acceleration.
• t is time taken.

$\rule{200}{2}$

Let's derive them .

★ First equation of motion ★

• v = u + at .

Let us imagine an object having an initial Velocity u and it accelerates with a accelⁿ a and achieves final velocity v . It took time t .

So , as per definition of acclⁿ : Rate of change of Velocity is called acceleration .

=> a = v - u / t .

=> at = v - u .

=> v = u + at .