Motion photography is a separate art in itself and different photographs depicting different types of motion can give you varying effects. There are basically four types of effects, which you can produce by varying the shutter speed.

The Frozen Effect
Setting a high shutter speed can capture frozen motion with absolute clarity. Anything from 1/300th to 1/1000th of a second will do the trick depending on the speed of the moving object. Modern day cameras can give shutter speeds of up to 1/8000th of a second too.

The Panning effect
Panning effect is depicting the background as blurred while the object is rock steady and used quite often by sports photographers. This is a little tricky to achieve and requires a little expertise. To get such an effect, you have to use a slower shutter speed and at the same time move the camera while focusing on the object. You get the feeling of motion with the object actually appearing to move against the background.

Total Blur Effect
When photographing total motion and you want the photograph to look more like a colorful painting, you can use this effect. This can be achieved by using a slower shutter speed in the range of 1/100th of a second or lower. It is effective while shooting a flowing stream or wind blown trees.

Motion Blur Effect
To depict motion against a still background, you use the motion blur effect, and is often used in night photography, when you want to depict say vehicles moving across a road. To achieve this you require a steady tripod and shutter on auto mode and a long exposure of say 10-15 seconds.