A spaceship travels at (0.610 c_{0}) away from Earth. When the ship is (3.47 times 10^{11} mathrm{~m})

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A spaceship travels at \(0.610 c_{0}\) away from Earth. When the ship is \(3.47 \times 10^{11} \mathrm{~m}\) away in the Earth reference frame, the ship clock is set to \(t=0\) and a message (light signal) is sent to its ground crew on Earth. When this message is received, the ground crew immediately sends a reply (light signal) to the ship. The ground crew adjust their clocks to specify \(t=0\) as the time the message was sent from the ship.

(a) What is the reading on the ground crew's clock at the instant the ship receives the reply signal?

(b) According to the ground crew, how far from Earth is the ship when it receives the reply?

(c) What is the reading on the ship's clock at the instant the reply reaches the ship?

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