A particle of mass ' \(m^{\prime}\) is projected with a velocity \(v=k V_{e}(k<1)\) from the surface of the earth.
\(\left(V_{e}=\right.\) escape velocity \()\)
The maximum height above the surface reached by the particle is:
A \(R\left(\frac{k}{1-k}\right)^{2}\)
B \(R\left(\frac{k}{1+k}\right)^{2}\)
C \(\frac{R^{2} k}{1+k}\)
(D) \(\frac{R k^{2}}{1-k^{2}}\)