Makemake, the third biggest identified dwarf planet in the Solar System, consists of a radius R = 750 km and an acceleration due to gravity on the surface of magnitude g = 0.47 m/s2.
The escape speed from the surface of Makemake is 839.64 m/s.
When an object is fired directly upward from the surface of Makemake with HALF of the escape speed, to what utmost height above the surface will the object rise? (Suppose that Makemake has no atmosphere and no rotation.)