It is difficult to train your body to move faster if you are uncoordinated....the central nervous system can be trained to make the body move more efficiently and faster. But, in order for this to happen, you must train efficiently and faster during workouts and practices.
Just as you must train fast (with correct running mechanics ) to get faster, you must also correctly do agility drills to improve your coordination. Improving your coordination will help improve your multi-directional speed and linear speed (straight-ahead speed). A player rarely reaches maximum speed during game competition. Having great change-of-direction speed (agility with quickness) allows you to beat your opponent "to the spot" or recover from mistakes in positioning.
You can do agility ladder drills everyday during warmup to perfect your form. From there, you can progress to doing these drills full speed with great coordination. This will make you a better, faster athlete!