Question

A projectile is fired from the surface of earth of radius R with a speed Av. in radially outward direction (where v_e is the escape velocity and λ < 1). Neglecting air resistance, the maximum height from centre of earth is

(1) \(\frac R{\lambda^2 + 1}\)h

(2) \(\lambda^2R\)

(3) \(\frac R{1-\lambda^2 }\)

(4) \(\lambda R\)

Answer 1

Correct option is (3) \(\frac R{1-\lambda^2 }\)