Motion blur "results when the image being recorded changes during the recording of a single exposure, due to rapid movement or long exposure." The can be caused by either the camera or objects in the scene moving. Blender can add motion blur to animation renders by comparing the position of objects in sequential frames. Use this tag for questions about Blender's motion blur rendering option.
Wikipedia defines motion blur as
The apparent streaking of moving objects in a photograph or a sequence of frames, such as a film or animation. It results when the image being recorded changes during the recording of a single exposure, due to rapid movement or long exposure.
Blender has a Motion Blur Render setting that enables the computation of motion blur for scenes where either the camera or objects in the scene are moving. The manual introduces the option thusly:
Blender’s animations are by default rendered as a sequence of perfectly still images. While great for stop-motion and time-lapses, this is unrealistic, since fast-moving objects do appear to be blurred in the direction of motion, both in a movie frame and in a photograph from a real-world camera.
Use this tag for questions about Blender's motion blur rendering option.