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## Homework Statement

A space probe is to be launched from a space station 200 miles above Earth. Determine its escape velocity in miles/s. Take Earth's radius to be 3960 miles.

## Homework Equations

None.

## The Attempt at a Solution

m(dv/dt)=-(mgR^2)/(x+R)^2

dv/dt=-(gR^2)/(x+R)^2

Now what?

The answer is 6.76 miles/s.