There are two ways to accomplish blur in Blender: Vector Blur and Motion Blur. Read the Vector Blur before continuing.
Motion Blur for a static image follows the same general steps as Vector Blur. The main difference is that Motion Blur redraws the same scene over and over (with slight changes) to accumulate a very accurate representation of motion blur.
Repeat Vector Blur setup.
Otherwise the UVsphere would simply rotate about its axis, rather than "following" a path.
The Bezier Curve becomes the path around which the sphere will follow.
The path is a Bezier Circle. This controls the number of frames assigned to the selected path. For a circular path, a higher number means that the object encircling it will take smaller steps. A lower number means the object will take larger steps. To get some serious blur, pick a lower number. For more subtle blur, pick a higher number.
Press F12 to render.
Motion Blur @ OSA 8; Motion Blur @ OSA 16
The UVsphere is drawn through a sequence that is rendered one frame at a time, up to 16 times.
The number of times is defined by the oversampling (OSA) level (Buttons Window, OSA). A higher OSA (e.g., 11 or 16) means more rendered images, which produces a better quality result. However, it takes more time to produce a final image.
Each frame for the image should be slightly different than the previous. If the moving object has not been told to move either far or fast enough, then it will hardly appear to have moved at all! Once Blender has finished rendering each of the images for the scene, it will merge them together.
Motion Blur (left) vs Vector Blur (right)
THE END - Download