When a satellite is near Earth, its orbital trajectory may trace out a hyperbola, a parabola, or an ellipse. The type of trajectory depends on the satellite's velocity V in meters per second. It will be hyperbolic if , parabolic if , and elliptical if , where k = 2.82 × 107 is a constant and D is the distance in meters from the satellite to the center of Earth. Solve the problem.If a satellite is scheduled to leave Earth's gravitational influence,

its velocity must be increased so that its trajectory changes from elliptical to hyperbolic. Determine the minimum increase in velocity necessary for a satellite traveling at a velocity of 5696 meters per second to escape Earth's gravitational influence when 



A. -3514 m per sec

B. 5627 m per sec

C. 5765 m per sec

D. 7878 m per sec


Answer: A

Mathematics

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