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In: Physics

A stellar object that is at a great distance emits a stream of matter at velocity...

A stellar object that is at a great distance emits a stream of matter at velocity v towards an observer obliquely, forming an angle θ with the observation line. For the observer the jet appears to have been emitted laterally at speed V.
Show that for certain angles the speed measured by the observer may exceed the speed of light.

V = sin θ (1 / v - cos θ) −1

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