🚀 Escape Speed — ve = √(2GM/R), the speed that never comes back
Real Newtonian flight in SI units, not a lob: the projectile is integrated under a = −GM/r² all the way out. Only SPEED decides escape — not direction, and not the projectile's own mass. Escape speed is the one number this scene is about.
ve = √(2GM/R) = 11.2 km/s · vc = √(GM/R) = 7.9 km/s v / ve = 0.80 · g = GM/R² = 9.8 m/s²