A satellite in a 100-mile-high circular orbit around Earth has a velocity of approximately 17,500 miles per hour (see figure). When this velocity is multiplied by ˆš2, the satellite has the minimum velocity necessary to escape Earth's gravity and follow a parabolic path with the center of Earth as the focus.
a. Find the escape velocity of the satellite.
b. Find the standard from of the equation that represents the parabolic path (Assume that the radius of Earth is 4000 miles)