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Lydia Proposes to Send an Interstellar Probe Off in Stages

question 11

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Lydia proposes to send an interstellar probe off in stages. The first stage, traveling radially outward at 0.500c relative to Earth, will send off a second stage traveling in the same direction as the first stage at a speed of 0.500c relative to the first stage. Finally, the second stage will send off a third stage traveling in the same direction at 0.500c relative to the second stage. Relative to Earth, the speed of the third stage will have a magnitude of


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