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Gravitation: A rocket is accelerated to speed v = 2 sq. root gRe near Earth's surface

A rocket is accelerated to speed v = 2 sq. root gRe near Earth's surface (where Earth's radius is Re), and it then coasts upward.

a) Show that it will escape from Earth.
b) Show that very far from Earth its speed will be v = sq. root 2gRe.

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