Deduce the following relations by calculus method for a uniform motion along a straight line, wh...

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Deduce the following relations by calculus method for a uniform motion along a straight line, where the symbols have their usual meanings
(i) \( v=u+a t \)
(ii) \( s=u t+\frac{1}{2} a t^{2} \)
(iii) \( v^{2}=u^{2}+2 a s \)
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