Take into account the Earth's rotational speed (1 rev/day) and use 5 significant figures.
(a) Determine the necessary speed, with respect to Earth, for a rocket to escape if fired from the Earth at the equator in a direction eastward. (The escape velocity from the surface of the Earth is 11.182 km/s. The radius of the Earth is 6380 km.)
(b) Determine the necessary speed, with respect to Earth, for a rocket to escape if fired in a westward direction at the equator.
(c) Determine the necessary speed, with respect to Earth, for a rocket to escape if fired in a westward direction at 20° north latitude.
(d) Determine the necessary speed, with respect to Earth, for a rocket to escape if fired from the Earth at the equator vertically upward.