Test Academy | A projectile is projected with velocity kvₑ in vertically upward direction from the ground into the space. ( vₑ is escape velocity and k < 1). If air resistance is considered to be negligible then the maximum height from the centre of earth to which it can go, will be (R = radius of earth) R/k²+1, R/k²-1, R/1-k², R/k+1

Question

A projectile is projected with velocity kvₑ in vertically upward direction from the ground into the space. ( vₑ is escape velocity and k < 1). If air resistance is considered to be negligible then the maximum height from the centre of earth to which it can go, will be (R = radius of earth)

Options :

R/k²+1
R/k²-1
R/1-k²
R/k+1

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