An interstellar space probe is launched from earth. after a brief period of acceleration it moves with a constant velocity, 70.0% of the speed of light. its nuclear-powered batteries supply the energy to keep its data transmitter active continuously. the batteries have a lifetime of 15.9 years as measured in a rest frame. (a) how long do the batteries on the space probe last as measured by mission control on earth?
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(b) how far is the probe from earth when its batteries fail, as measured by mission control?
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(c) how far is the probe from earth, as measured by its built-in trip odometer; when its batteries fail?
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