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F = ma (First 10)
Kinematics
FMA-2026-01 · 2026 F = ma (AAPT)

2026 F = ma Exam — Question 1

In astronomy, some galactic objects appear to sweep across the sky faster than light speed, c. This effect, called superluminal motion, comes purely from geometry and the finite travel time of light, and it has nothing to do with special relativity. A jet moves from point A to B at speed v = βc. The jet emits a pulse of light at A, and a second pulse a time δt later at B. An observer sees these pulses at point O. The angle between the jet and the line of sight is θ. Assume the angle ϕ is small, so the distances from O to points B and C can be treated as equal. B v ϕ θ O C A Find the apparent transverse velocity, vT , along CB as measured by the observer, in terms of β and θ. Express your answer as βT ≡ vcT β sin θ
Source: Question 1, 2026 F = ma Exam, © 2026 American Association of Physics Teachers (AAPT) and the U.S. Physics Team. Adapted by PhysicsTrainer: reformatted into a separate question and answer choices for online multiple-choice practice; any shared setup from nearby questions is repeated here. Not affiliated with or endorsed by AAPT or the U.S. Physics Team.