The initial velocity of a particle is $u$ (at $t = 0$) and the acceleration ${n^{th}}$ is given by $at$. Which of the following relation is valid

  • A

    $v = u + a{t^2}$

  • B

    $v = u + a\frac{{{t^2}}}{2}$

  • C

    $v = u + at$

  • D

    $v = u$

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