The international space station orbits the Earth in a circular path a distance of 6.78 * 106 meters from the Earth's center. Assume the space station is confined to moving in the xy-plane in 3-space (i.e. has a 2-d parametrization), moves counterclockwise around the Earth, and is on the x axis at t = 0, (a) Find a parametrization F(t) that gives the position of the space station as a function of time t, calling the (currently unknown) frequency of this motion w. (b) The magnitude of the acceleration due to gravity experienced by the space station is 8.7 meters per second squared. Use this to determine the frequency w of the space station's motion. (c) Find the velocity and speed of the motion of the space station around the Earth.