A Satellite in a 100-Mile-High Circular Orbit Around Earth Has $\sqrt { 2 }$

Multiple Choice

A satellite in a 100-mile-high circular orbit around Earth has a velocity of approximately 17,500 miles per hour.If this velocity is multiplied by $\sqrt { 2 }$ ,the satellite will have the minimum velocity necessary to escape Earth's gravity and will follow a parabolic path with the center of Earth as the focus.(Hints: The radius of Earth is 4000 miles. ) ​ Find the distance between the surface of the Earth and the satellite when $\theta = 50 ^ { \circ }$ . ​

A) Distance between surface of Earth and satellite:4496 miles
B) Distance between surface of Earth and satellite:4322 miles
C) Distance between surface of Earth and satellite:1286 miles
D) Distance between surface of Earth and satellite:643 miles
E) Distance between surface of Earth and satellite:1492 miles