A space shuttle is to rendezvous with an orbiting laboratory which circles the earth at a constant altitude of 360 km. The shuttle has reached an altitude of 60 km when its engine is shut off, and its velocity v0 forms an angle φ0 = 50? with the vertical OB at that time. What magnitude should v0 have if the shuttle??s trajectory is to be tangent at A to the orbit of the laboratory?

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R=6370 km 360 km A B