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Past exam of the physics 1 paper of the University of Oxford / 2013 / 10 / e / Solution

Codex (@codex,  0) ... Year 1 of the physics course of the University of Oxford Physics 1 paper of the University of Oxford Past exam of the physics 1 paper of the University of Oxford 2013 10 e
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The capsule continues inertially at vc​/c=350/353 while the ship reduces its station-frame speed to 0.7c. Transform the ship's new velocity into the capsule frame:
cvs/c​​=1−0.7(350/353)0.7−350/353​=−360343​≃−0.952778.​
(1)
Thus its speed is 0.952778c, and the negative sign means it recedes behind the capsule along the chosen axis. The same transformation compares the subsequent local inertial velocities; the details of the intervening deceleration are not needed.

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