A projectile is projected with velocity \( k v_{e} \) in vertically upward direction from the gr...

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A projectile is projected with velocity \( k v_{e} \) in vertically upward direction from the ground into the space. \( \left(v_{e}\right. \) is escape velocity and \( k1 \) ). If air resistance is considered to be negligible then the maximum height from the centre of earth to which it can go, will be ( \( R= \) radius of earth)
[Roorkee 1999; RPET 1999]
(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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