A rocket of mass $M$ is launched vertically from the surface of the earth with an initial speed $V.$ Assuming the radius of the earth to be $R$ and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is
A rocket of mass $M$ is launched vertically from the surface of the earth with an initial speed $V.$ Assuming the radius of the earth to be $R$ and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is
- A
$\frac{R}{{\left( {\frac{{gR}}{{2{V^2}}} - 1} \right)}}$
- B
${R\left( {\frac{{gR}}{{2{V^2}}} - 1} \right)}$
- C
$\frac{R}{{\left( {\frac{{2gR}}{{{V^2}}} - 1} \right)}}$
- D
${R\left( {\frac{{2gR}}{{{V^2}}} - 1} \right)}$
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