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How is the concept velocity defined in physics? If a light bulb is lit on a pole and seen by a person who is standing

How is the concept "velocity" defined in physics? If a light bulb is lit on a pole and seen by a person who is standing still (relative to the pole) and another who is moving very fast towards the pole, should they measure the speed of light and give them the same? What has to happen with time so that it gives the same value to both?

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