Equations of Motion | Derivations

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-

 

 

Derivation of 2^nd Equation of Motion-

 

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Graphical Analysis

 

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