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(a) A large rocket ship traveling away from Earth at a speed of 0.4c launches a shuttle which also travels in the direction away from earth. From an observer on the rocket ship the shuttle is receding at a speed of 0.6c. Calculate the velocity of the shuttle for an observer on Earth. (b) A spaceship leaves Earth and travels in a fixed direction with constant speed 0.80c in the Earth's reference frame. A video call is set to be made from the spaceship exactly one year after launch, as measured by a clock on the spaceship. (i) Calculate how far away from Earth the spaceship is (in light-years) when the video call is made. (ii) Calculate how long after the departure time, as measured on Earth, before the video call is received on Earth. The call is transmitted by radio waves.

(a) A large rocket ship traveling away from Earth at a speed of 0.4c launches a shuttle which also travels in the direction away from earth. From an observer on the rocket ship the shuttle is receding at a speed of 0.6c. Calculate the velocity of the shuttle for an observer on Earth. (b) A spaceship leaves Earth and travels in a fixed direction with constant speed 0.80c in the Earth's reference frame. A video call is set to be made from the spaceship exactly one year after launch, as measured by a clock on the spaceship. (i) Calculate how far away from Earth the spaceship is (in light-years) when the video call is made. (ii) Calculate how long after the departure time, as measured on Earth, before the video call is received on Earth. The call is transmitted by radio waves.

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A1. (a) A large rocket ship traveling away from Earth at a speed of 0.4c launches a shuttle which also travels in the direction away from earth. From an observer on the rocket ship the shuttle is receding at a speed of 0.6c. Calculate the velocity of the shuttle for an observer on Earth. (b) A spaceship leaves Earth and travels in a fixed direction with constant speed 0.80c in the Earth's reference frame. A video call is set to be made from the spaceship exactly one year after launch, as measured by a clock on the spaceship. (i) Calculate how far away from Earth the spaceship is (in light-years) when the video call is made. (ii) Calculate how long after the departure time, as measured on Earth, before the video call is received on Earth. The call is transmitted by radio waves.
Transcribed Image Text:A1. (a) A large rocket ship traveling away from Earth at a speed of 0.4c launches a shuttle which also travels in the direction away from earth. From an observer on the rocket ship the shuttle is receding at a speed of 0.6c. Calculate the velocity of the shuttle for an observer on Earth. (b) A spaceship leaves Earth and travels in a fixed direction with constant speed 0.80c in the Earth's reference frame. A video call is set to be made from the spaceship exactly one year after launch, as measured by a clock on the spaceship. (i) Calculate how far away from Earth the spaceship is (in light-years) when the video call is made. (ii) Calculate how long after the departure time, as measured on Earth, before the video call is received on Earth. The call is transmitted by radio waves.
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