| 1. | In that case the relativistic velocity addition rule applies.
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| 2. | StuRat probably meant " relativistic velocity ".
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| 3. | This geometry, in turn, can be inferred from the addition law of relativistic velocities.
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| 4. | As for relativistic velocity addition itself, it is a mathematically necessary consequence of Einstein's assumptions.
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| 5. | The above formulae constitute the relativistic velocity addition and the Thomas rotation explicitly in the general Lorentz transformations.
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| 6. | Achieving relativistic velocities is difficult, requiring advanced forms of spacecraft propulsion that have not yet been adequately developed.
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| 7. | If the particle is moving at a relativistic velocity, the usual relativistic corrections for time dilation must be made.
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| 8. | This motion is presumably an optical illusion caused by the relativistic velocity of the jet, and not true superluminal motion.
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| 9. | During the voyage, the crew enjoyed the benefits of relativistic velocities; for them, it is the year 2296.
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| 10. | :As you say, there would be a big problem if the spacecraft hit anything when going at relativistic velocities.
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