I too use a golf cart to exercise my show horses. My golf cart is electric, very quiet and can go slow or somewhat fast if I want the horse to canter beside me instead of trotting. Most of the time I make them work at a fast trot. I just taught an 11 month filly how to work on the golf cart. I started her off by holding the leadline (i was afraid to tie her with her being so young and justbstarting out) and going very very slow. Every horse is different in learning, sone take longer to learn than others. This filly is very intelligent and after about 5 days of slow walking I decided to try a slow trot (again no tying, and at a slow pace for trot). She did great on first trot but likes to go faster. So now I work her at a fast pace (not too fast, just fast enough to get her to extend when trotting). She never pulls back or hits the brakes so I know she really enjoys doing the golf cart. On my golf cart I loop the leadline around the arm of my seat, but it is not tied, just gives me stability in case she does pull back. If uou hold thr leadline in your hand and the horse pulls back out of nowhere it could hurt or even sprint your wrist probably. I also don't like to tie them above their head level. I prefer having the lead right beside them, not above or too low that they accidently might step over it. I also work in an area that I fenced off from another pasture for driving but iy works great for golf cart. I do not work in an area where there are other horses. That reason is, last year I had a 2 year old stallion in the pasture (before it was fenced off) and I would work my show geldings on the golf cart. Well one day the stallion decided to go after the gelding and the gelding ran out in front of the golf cart and it bumped him. It did more than just bump him. It broke his knee. Long story short there was nothing that could be done so I had to put him down. I also made a mistake having him tied too close to the front of the golf cart even though he was used to being tied there and has worked like that every time he went out on the golf cart. So now I keep them right at my side. You have to be careful and be able to see them when working them on the golf cart. Even those that are used to doing it can do something unexpected out of nowhere. I would not recommend tying a horse "behind" the golf cart either.