A particle of mass $m$ with initial kinetics energy $K$ approaches the origin from $x =+\infty$. Assume that a conservative force acts on it and its potential energy $V ( x )$ is given by $V ( x )=\frac{ K }{\exp \left(3 x / x _0\right)+\exp \left(-3 x / x _0\right)}$ where, $x_0=1 m$. The speed of the particle at $x =0$ is

  • [KVPY 2021]
  • A

    $\sqrt{ K / m }$

  • B

    $\sqrt{2 K / m }$

  • C

    $\sqrt{3 K / m }$

  • D

    $0$

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  • [JEE MAIN 2013]