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## Homework Statement

A rocket is launched straight up from the Earth's surface at a speed of 1.60×10^4 m/s.

What is its speed when it is very far away from the earth?

## Homework Equations

F= (GMm)/r^2

G= 6.67 X 10^-11

M= 5.98 X 10^24

Potential Energy = (Gm1m2)/r

Kinetic Energy = 1/2mv^2

Escape velocity= 11200 m/s

## The Attempt at a Solution

My first attempt was to take the speed of the rocket (1.60 X 10^4) and subtract it from the escape velocity. This gave me 4800 m/s. This assignment is online and the program said that answer is incorrect. Now I am not sure how to approach the problem. Does anyone have advice as to how to start this problem? All help is greatly appreciated. Thank you.