I'm not trying to be an smart a$$ here but, 'just wondering if you set your lens to its lowest aperture and set the camera to higher ISO, is your lens a fast lens and does it feature Vibration Reduction? use of a monopod or a tripod instead of handheld is better.
In addition to what fihart suggested, one other trick is to anticipate the movement and take the shot before or after the peak. Since using flash is useless when taken pictures from a distance, set the camera to take multiple (rapid) shot instead of single shot. You’ll have more chance to get a better shot.