In Jules Verne's from the Earth to the Moon, Scientists

In Jules Verne's From the Earth to the Moon, scientists are launched from the surface of Earth by a cannon. With what speed would their capsule have to leave the cannon if the speed of the capsule is required to be zero m/s at the point between Earth and the Moon where their gravitational pulls on the capsule are equal? The mass of Earth is 5.97 × 10²⁴ kg, the mass of the Moon is 7.35 × 10²² kg, the distance between Earth and the Moon is 3.84 × 10⁸ m, the radius of Earth is 6.37 × 10⁶ m, and G = 6.67 x 10^-11 N·m²/kg².

A) 11,100 m/s
B) 11,200 m/s
C) 10,400 m/s
D) 15,700 m/s
E) 15,800 m/s