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.When a certain satellite was at a maximum distance of 57.6 × 106 m

from Earth's center, it had a velocity of 4873 m per sec. Determine the shape of its trajectory.

A. parabolic
B. elliptical
C. hyperbolic


Answer: C

Mathematics

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