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# Problem: A rocket is launched straight up from the earth's surface at a speed of 1.50×104 m/s What is its speed when it is very far away from the earth?

###### FREE Expert Solution

The law of conservation of energy:

$\overline{){\mathbf{P}}{\mathbf{.}}{{\mathbf{E}}}_{{\mathbf{0}}}{\mathbf{+}}{\mathbf{K}}{\mathbf{.}}{{\mathbf{E}}}_{{\mathbf{0}}}{\mathbf{=}}{\mathbf{P}}{\mathbf{.}}{{\mathbf{E}}}_{{\mathbf{f}}}{\mathbf{+}}{\mathbf{K}}{\mathbf{.}}{{\mathbf{E}}}_{{\mathbf{f}}}}$

Initially, the rocket has both gravitational potential energy and kinetic energy.

However, in the final stage, there is no gravitational potential energy since the rocket is far away from the earth. It only has kinetic energy.

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###### Problem Details

A rocket is launched straight up from the earth's surface at a speed of 1.50×104 m/s

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