A projectile is fired vertically upwards from the surface of the earth with a velocity `Kv_(e)`, where `v_(e)` is the escape velocity and `Klt1`.If `R` is the radius of the earth, the maximum height to which it will rise measured from the centre of the earth will be (neglect air resistance)

Options

A. `(R)/(k^(2)+1)`
B. `(k^(2)R)/(1-k^(2))`
C. `(R)/(1-k^(2))`
D. `(k^(2)R)/(k^(2)+1)`

Answer

C