A particle fall from height $h$ on $a$ static horizontal plane rebounds. If $e$ is coefficient of  restitution then before coming to rest the total distance travelled during rebounds will  be:-

  • A

    $h\left( {\frac{{1 + {e^2}}}{{1 - {e^2}}}} \right)$

  • B

    $h\left( {\frac{{1 - {e^2}}}{{1 + {e^2}}}} \right)$

  • C

    $\frac{h}{2}\left( {\frac{{1 - {e^2}}}{{1 + {e^2}}}} \right)$

  • D

    $\frac{h}{2}\left( {\frac{{1 + {e^2}}}{{1 - {e^2}}}} \right)$

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