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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