You shouldn't be having those kinds of problems if you are using shutter speeds fast enough to freeze the action in sports, especially for daylight shooting like you show in the picture. If you are not shooting at 1/500 at the very least, you might want to try moving your ISO setting up a notch or two. For daytime, it would only be with a long telephoto, like 400 or longer, that your shutter speed wouldn't be fast enough to eliminate any blur from camera shake.
+1...shouldn't need a monopod for sports unless it's a 300mm or bigger.

