The initial velocity of a particle moving along $x$-axis is $u$ (at $t=0$ and $x=0$ ) and its acceleration $a$ is given by $a=k x$. Which of the following equation is correct between its velocity $(v)$ and position $(x)$ ?

  • A

    $v^2-u^2=2 k x$

  • B

    $v^2=u^2+2 k x^2$

  • C

    $v^2=u^2+k x^2$

  • D

    $v^2+u^2=2 k x$

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