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

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A rocket launched from Earth's surface at 15,000 m/s will experience a change in speed as it moves away from Earth. The escape velocity from Earth is 11,200 m/s, meaning the rocket exceeds this speed upon launch. However, determining the speed at a great distance from Earth requires considering gravitational effects and energy conservation. The initial kinetic energy and gravitational potential energy must be balanced to find the final speed. Therefore, the problem emphasizes the need for a deeper understanding of gravitational dynamics rather than a simple calculation.
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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?
 
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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.
 

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