At t — 0, a bright beacon at the origin flashes, sending light uniformly in all directions. Anna is moving at speed v in the +x direction relative to the beacon and passes through the origin at t = 0. (a) Show that according to Anna, the only light with a positive x'-component is that which in the beacon's reference frame is within an angle θ = cos-1(v/c) of the +x-axis, (b) What are the limits of θ as v approaches 0 and as it approaches c? (c) The phenomenon is called the headlight effect. Why?
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