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Special Relativity: Speed

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The proper length of one spaceship is 5 times that of another. The two spaceships are traveling in the same direction and, while both are passing overhead, an Earth observer measures the two spaceships to be the same length. If the slower spaceship is moving with a speed of 0.332 c, determine the speed of the faster spaceship. Answer in units of c.

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The length measured in a reference frame where the object is at rest will be the longest. In all other reference frames the length of the object will be measured as shorter.

Let L0 be the length of the object measured in its rest system:

And in the non-moving frame:

According to ...

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