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Rocket speed: Total travel time of a pulse as measured by observers in S frame

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An observer in a rocket moves toward a mirror at a speed 0.6 c relative to a stationary reference frame S.

The mirror is stationary with respect to S. A light pulse emitted by the rocket travels
toward the mirror and is reflected back to the rocket. The front of the rocket is a distance
1.88 × 10 ^12 m from the mirror (as measured by observers in S) at the moment the light
pulse leaves the rocket.

v = 0.6 c
What is the total travel time of the pulse as measured by observers in the S frame?
Answer in units of s.

What is the total travel time of the pulse as measured by observers in the front of the rocket?
Answer in units of s. Note: the answer is not 9722 seconds

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The total travel time of a pulse as measured by observers in S frame is determined. The 354 word solution, complete with diagram answers the questions.

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An observer in a rocket moves toward a mirror at a speed 0.6 c relative to a stationary reference frame S. The mirror is stationary with respect to S. A light pulse emitted by the rocket travels toward the mirror and is reflected back to the rocket. The front of the rocket is a distance 1.88 × 10 ^12 m from the mirror (as measured by observers in S) at the moment the light pulse leaves the rocket.
v = 0.6 c
What is the total travel time of ...

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