All about planetary motion

Question

to what distance from the surface of the earth must a rocket propelled so that it will appear stationary to an observer on earth?

B) what should be its orbital speed?

Answer 1

This is called a Geostationary orbit. This is achieved around 35,786 km (22,236 mi) directly above the equator. This equates to an orbital velocity of 3.07 km/s (1.91 mi/s) or a period of 1436.06 minutes which equates to almost exactly one earth day or 23.934461223 hours. This makes sense considering that the satellite must be locked to the earth's rotational period in order to have a stationary footprint.