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

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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.

https://brainmass.com/physics/solar-system/rocket-accelerated-speed-root-gre-near-earth-6844

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Problem

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. ...

#### Solution Summary

The acceleration of a rocket near the earth's surface is determined. The escape from the Earth's atmosphere is given. The solution to the problem is explained and solved showing all the calculations.

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