Question
A rocket is launched vertical from the surface of the earth of radius R with initial speed v. If atmospheric resistance is neglected , then maximum height attained by the rocket is
(1) h=R/ (2gR/v^2 -1)
(2) h=R/ (2gR/v^2 +1)
(3) h=R^2/ (2gR/v^2 -1)
(4) h=R^2/ (2gR/v^2 +1)