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Statement of a problem № 3336

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(a) Assuming that the earth is a sphere of radius 6400 km, with what velocity must a projectile be fired from the earth's surface in order that its subse- quent path be an ellipse with major axis equal to 80,000 km? (b) If the projectile is fired upwards at an angle 45° to the vertical, what would be the eccentricity of this ellipse?

Solution:
(a)  Assuming that the earth is a sphere of radius 6400 km, with what velocity m

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