A front bringing in a cold air mass is referred to as a cold front. Because cold fronts move along the ground where they encounter friction, they move slower at ground level than they do further up in the atmosphere. For this reason, cold fronts tend to be more sloped than warm fronts.
Typically cold fronts move faster than their warmer counterparts. The combination of higher speed and slope push warm air masses upward very quickly. This quick upward air movement causes the warm air being displaced to cool quickly, becoming turbulent. This turbulence often can be the cause of extremely violent weather.
Because cold fronts move quickly, the weather associated with them typically also moves quickly and passes over a particular location in a short period of time. The turbulent weather generally stays right in line with the front.