An object is dropped from a height $h$ from the ground. Every time it hits the ground it looses $50\%$ of its kinetic energy. The total distance covered as $t \to \infty $ is

  • [JEE MAIN 2017]
  • A

    $3\,h$

  • B

    $\infty $

  • C

    $\frac{5}{3}\,h$

  • D

    $\frac{8}{3}\,h$

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  • [AIIMS 2015]

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