(Solution) - A rocket ship leaves earth at a speed of 5 3c -(2025 Original AI-Free Solution)

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A rocket ship leaves earth at a speed of 5/3c. When a clock on the rocket says 1 hour has elapsed, the rocket ship sends a light signal back to earth.
(a) According to earth clocks, when was the signal sent?
(b) According to earth clocks, how long after the rocket left did the signal arrive back on earth?
(c) According to the rocket observer, how long after the rocket left did the signal arrive back on earth?