The initial velocity of a particle is $u$ at $t=0$ and the acceleration $a$ is given by $a = \alpha t^{3/2}$. Which of the following relations is valid?

  • A
    $v=u+\alpha t^{3/2}$
  • B
    $v=u+\frac{3}{2}\alpha t^3$
  • C
    $v=u+\frac{2}{5}\alpha t^{5/2}$
  • D
    $v=u+\alpha t^{5/2}$

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