using calculus method derive v=u +at
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Derivation of First Equation of Motion by Calculus Method
Since acceleration is the rate of change of velocity, it can be mathematically written as:
a=dvdt
Rearranging the above equation, we get
adt=dv
Integrating both the sides, we get
∫t0adt=∫vudv
at=v−u
Rearranging, we get
v=u+at
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