Escape Velocity Video Lessons

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# Problem: A rocket is launched straight up from the earth's surface at a speed of 1.80×104 m/s. What is its speed when it is very far away from the earth? Ignore air resistance.

###### FREE Expert Solution

Conservation of mechanical energy:

$\overline{){{\mathbf{K}}}_{{\mathbf{i}}}{\mathbf{+}}{{\mathbf{U}}}_{{\mathbf{i}}}{\mathbf{+}}{{\mathbf{W}}}_{\mathbf{N}\mathbf{C}}{\mathbf{=}}{{\mathbf{K}}}_{{\mathbf{f}}}{\mathbf{+}}{{\mathbf{U}}}_{{\mathbf{f}}}}$

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###### Problem Details

A rocket is launched straight up from the earth's surface at a speed of 1.80×104 m/s. What is its speed when it is very far away from the earth? Ignore air resistance.