Test Academy | 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 R/((gR/2V²)-1), R((gR/2V²)-1), R/((2gR/V²)-1), R/(2gR/V²)-1)

Question

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

Options :

R/((gR/2V²)-1)
R((gR/2V²)-1)
R/((2gR/V²)-1)
R/(2gR/V²)-1)

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