Can an object that is producing radiation, have an acceleration but not move.... Hi, I took a quiz today and one question was , "Which of these would produce radiation" a) a moving particle b) accelerating particle c) DC current d) a magnetic field (can't remember this) The answer is B. But, I would argue that an accelerating particle must be moving hence the answer would be A and B. Was told no not true and the answer is B. How is it possible for a particle to accelerate and not be moving in ℝ^3 position f during time t is f(t) = location at time t f'(t) = velocity f''(t) = acceleration >> which produces radiation if f'(t) = 0 or a, where a is a constant then then f''(t) = 0, so no radiation is produced if f'(t) = 0 or a. But.... f''(t) =/= 0 => f'(t) = anti derivative f''(t)=> f'(t) =/= 0 hence it is moving Can any one think of an example where particle in space has an acceleration not equal to 0, but does not have any movement?