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Finding Minimum Launch Velocity

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The velocity v of a rocket attempting to escape from the earth's gravitational field is given by:

(v)(dv/dr) = -g(R^2/r^2)

Where:
r is its distance from the centre of the earth and
R is the mean radius of the earth

Find a formula for V(r) and determine the minimum launch velocity V0 in order that the rocket escapes.

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Solution Summary

The solution gives detailed steps on finding the velocity of a rocket if the derivative of velocity is given. Also, a step of determining the minimum launch velocity is shown and explained.

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