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Time Dilation: Examples Problem IV
The first rocket bound for Alpha Centauri leaves Earth at a velocity . To commemorate the ten year anniversary of the launch, the nations of Earth hold a grand celebration in which they shoot a powerful laser, shaped like a peace sign, toward the ship.
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1. Question
According to Earth clocks, how long after the launch does the rocket crew first see the celebratory laser light?
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2. Question
According to clocks on the rocket, how long after the launch does the rocket crew first see the celebratory laser light?
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3. Question
According to the rocket crew, how many years had elapsed on the rocket's clocks when the nations of Earth held the celebration? That is, based on the rocket crews' post-processing to determine when the events responsible for their observations took place, how many years have passed on the rocket's clocks when the nations of Earth hold the celebration?