You are a visitor aboard the New International Space Station, which is in a circular orbit around the Earth with an orbital speed
of v = 1.91 km/s. The station is equipped with a high velocity projectile launcher, which can be used to launch small
projectiles in various directions at high speeds. Most of the time, the projectiles either enter new orbits around the Earth or eventually fall down and hit the Earth. However, as you know from your physics courses at the Academy, projectiles launched with a sufficiently great initial speed can travel away from the Earth indefinitely, always slowing down but never falling back
to Earth.

For reference, recall that the radius of the Earth is R_E 6370000 m, the mass of the Earth is M_E = 5.98 x 1024 kg, the
acceleration due to gravity on the surface of the Earth is g = 9.81 m/s², and the universal gravitational constant is
G = 6.67 x 10-11 N-m²/kg².
With what minimum total speed relative to Earth would
projectiles need to be launched from the station in order to
escape in this way?