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

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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 2\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 4,000 miles.)
 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 4,000 miles.) ​   Find the distance between the surface of the Earth and the satellite when  \theta = 40 ^ { \circ }  . ​ Find the distance between the surface of the Earth and the satellite when θ=40\theta = 40 ^ { \circ } .

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