Question
When a body accelerates by at, what is the velocity after time ‘t', when it starts from rest?

Answer

$\text{a}=\alpha\text{t}\text{ i.e. },\int\text{dv}=\text{a}\int\text{t dt}$
$\Rightarrow \text{v}=\frac{\alpha\text{t}^2}{2}$

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