A projectile is projected with velocity $k{v_e}$ in vertically upward direction from the ground into the space. ($v_e$ is escape velocity and $k < 1$). If air resistance is considered to be negligible then the maximum height from the centre of earth to whichit can go, will be : ($R =$ radius of earth)

  • A

    $\frac{R}{{{k^2} + 1}}$

  • B

    $\frac{R}{{{k^2} - 1}}$

  • C

    $\frac{R}{{1 - {k^2}}}$

  • D

    $\frac{R}{{k + 1}}$

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