Answer:
By definition, acceleration =\[\frac{\text{dv}}{\text{dt}}=\text{at
}\] or \[\text{dv}=\text{at dt}\]
Integrating it, we have \[\int\limits_{u}^{v}{dv}=\int\limits_{0}^{t}{at\,\,dt}\]
or \[\text{v - u =}+\frac{1}{2}\text{a}{{\text{t}}^{\text{2}}}\] or \[\text{v
}=\text{u}+\frac{1}{2}\text{a}{{\text{t}}^{\text{2}}}\].
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