A Rocket Is Launched Straight Up from the Surface of Earth

Multiple Choice

A rocket is launched straight up from the surface of Earth with a speed v,such that the rocket reaches a maximum height of R_{E above} the surface.Find the launch speed of the rocket.Neglect air resistance.(R_E = 6.38 $\times$ 10⁶ m,M_E = 5.98 $\times$ 10²⁴ kg,G = 6.67 $\times$ 10^-11 N·m²/kg²)

A) 2.81 km/s
B) 5.59 km/s
C) 11.2 km/s
D) 7.91 km/s
E) None of the above