In an experiment performed at the bottom of an extremely deep vertical mine shaft, a ball is tossed vertically in the air having a known initial velocity of 10 m/s and the maximum height the ball reaches (measured from the launch point) is determined to be 5.109 m. Knowing the radius of the Earth, RE = 6370 km, and the gravitational acceleration at the surface of Earth, g(0) = 9.81 m/s2, compute the depth of the shaft.