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person in motion and rotation of earth
relatively examples are one person siting on earth and the other is moving in bus
if you mean a concrete example, then the solar free neutrons could never reach earth with their lifetime at rest (they disintegrate before reaching earth). thus, when we use special relativity we get its lifetime at its speed of travel which allow us to detect solar neutrons on earth.
Add to that the calculations used in different space technologies, like GPS system.
