Solving the Gravitational Problem: Rocket Speed at Great Distance from Earth"

[SELFMADE]

Homework Statement

A rocket is launched straight up from Earth surface at 15000 m/s speed. What is the speed of the rocket when its very far away from the earth?

Homework Equations

The Attempt at a Solution

Escape speed from Earth is 11200m/s. So I am guessing the rocket's speed when its "very far" away from Earth is 3800m/s?

 

[diazona]

Nice try, but no, that's not the answer. This problem is not quite that simple.

Think about this: how do you calculate the escape velocity, 11200 m/s? That should give you a clue as to how to proceed with this problem.