Question: The Picard approaches star-base Faraway Point with a speed of 0.806c, and the La Forge approaches the star-base with a speed of 0.906c. Suppose the

The Picard approaches star-base Faraway Point with a speed of 0.806c, and the La Forge approaches the star-base with a speed of 0.906c. Suppose the Picard now launches a probe toward the star-base.
(a) What velocity must the probe have relative to the Picard if it is to be at rest relative to the La Forge?
(b) What velocity must the probe have relative to the Picard if its velocity relative to the La Forge is to be 0.100c?
(c) For the situation described in part (b), what is the velocity of the probe relative to the Faraway Point star-base?

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