A rocket is fired straight up via the atmosphere from the South Pole, burning out at the altitude of 222 km if traveling at 5.1 km/s.
(i) Determine the maximum distance from the surface of earth which does it travel before falling back to Earth? (The mass of Earth is 5.98 x 1024 kg, and the radius of the Earth is 6.38 x 103 km.)
(ii) Would its maximum distance rise if it were fired from the launch site on the equator? Explain why?