**Equations of Motion-**

We have following 4 equations of motion-

**Here,**

- v = Final velocity of the body
- u = Initial velocity of the body
- a = acceleration of the body
- t = time for which the body is in motion
- s = displacement of the body in motion
- n = n
^{th}second of motion of the body - s
_{n}= displacement of the body in n^{th}second

**Condition For Equations of Motion-**

The above equations of motion are valid only when the following conditions are satisfied-

- The motion of a body is in straight line (rectilinear motion).
- The body travels with
**uniform acceleration**(uniformly accelerated motion).

**Derivations of Equations of Motion By Calculus Method-**

**Derivation of 1**^{st} Equation of Motion-

^{st}Equation of Motion-

**Derivation of 2**^{nd} Equation of Motion-

^{nd}Equation of Motion-

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**Graphical Analysis**

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