CONCEPT:

• Equation of motion: The mathematical equations used to find the final velocity, displacements, time, etc of a moving object without considering force acting on it are called equations of motion.
• These equations are only valid when the acceleration of the body is constant and they move on a straight line.

There are three equations of motion:

V = u + at

V2 = u2 + 2 a S

\({\text{S}} = {\text{ut}} + \frac{1}{2}{\text{a}}{{\text{t}}^2}\)

Where, V = final velocity, u = initial velocity, s = distance travelled by the body under motion, a = acceleration of body under motion, t = time taken by the body under motion. EXPLANATION:​

From the above explanation, we can see that,

• The second equation of motion gives the position-time relation,
  • i.e. s = ut + (1/2) at².
  • Here, v is the final velocity, u is the initial velocity, a is the acceleration and t is the time.
• The first equation of motion gives the relation between "velocity and time" 
  • i.e. v = u +at.
• The position-velocity relation gives the third equation of motion,
  • i.e. 2as = v² - u².