Ceres, the smallest identified dwarf planet in the Solar System, has a radius R = 480 km and an acceleration due to gravity on its surface of magnitude g = 0.27 m/s2.
a) Use these numbers to calculate the escape speed from the surface of Ceres.
b) If an object is fired directly upward from the surface of Ceres with half of this escape speed, to what maximum height above the surface will the object rise? (Assume that Ceres has no atmosphere and negligible rotation.)