A good training foundation is the key to smooth fast runs! Check out this helmet cam view of a smooth barrel run!
Barrel Racing takes a lot more than running your horse as fast as you can around three barrels in a cloverleaf pattern. Yes, that is the object, but in order to be the fastest, you much teach your horse how to give to pressure, bend around your leg and be sensitive to seat cues. These fundamentals will give you the smoothest runs. Quiet riding and a responsive horse will take you further than a faster horse with less training. Check out this video of a smooth barrel pattern with a more than eager horse!
Go World Equestrian Brands and go riding!