Motion blur composition is a composition that depicts the movement of objects or backgrounds in a photo. Usually we avoid making the image look blurry, but actually this can give beauty and uniqueness to the photo.
The method used in this composition is by moving the camera or by moving the object. One technique that you can use is panning, which is a photo that follows the movement of the object so that the object remains in focus, only the background is blurred. Usually this composition is used for abstract photos, stage photos, sports photos, or action photos.
Some examples of motion blur compositions:
Source : unsplash.com
In this image, a panning photo technique is used, the object remains in focus and the background is blurry.
Source : unsplash.com
In this image the background is in focus, the object moves so it becomes blurry.