There are several interesting techniques that can be used with the shutter when dealing with motion. When taking a picture of something in motion, you need to consider how you want the subject to be displayed. Do you want the subject to be blurred or sharp? This is not the same type of blur and sharpness as depth of field.
Panning is another effect photographers use. Have you ever seen an advertisement of a car racing down a road with a blurred background, but the car in focus? You can try this effect by panning your subject. To pan your subject, change your shutter to a slower speed. When you press the button to snap the picture, follow the subject slowly with your camera. This will keep the subject more in focus than its surroundings. It is hard to accomplish, so it may take a number of tries before mastering the effect.