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A projectile is fired from the surface of earth of radius \( R \) with a speed \( \mathrm{k} v_{\mathrm{c}} \) in radially outward direction (where \( v_{\mathrm{c}} \) is
\( \mathrm{P} \) the escape velocity and \( \mathrm{k}1 \) ). Neglecting air resistance, the maximum distance of rise from centre of earth is
(a) \( \frac{\mathrm{R}}{\mathrm{k}^{2}+1} \)
(b) \( \mathrm{k}^{2} \mathrm{R} \)
(c) \( \frac{\mathrm{R}}{1-\mathrm{k}^{2}} \)
(d) \( \mathrm{kR} \)
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