I made a lucky shot on a coyote once, he was running full speed broadside at about 250 yards as he ran along a fence line. I aimed 3 fence posts in front of him and hit him in the head...lucky shot of my life so far!
Even if they are at a slow trot at 100 yds, I put the cross hair on the leading edge of their chest.
If you stop your swing as they are moving, you will shoot behind them everytime.
When you connect on a a running coyote, that's when your bullet construstion comes into play. Very often it is a quartering shot from the rear or quartering shot from the front as they run into you. In a 22 caliber, the Sierra 55g Spt and 55g BTHP(tougher yet) really do a great job.
Bullet speed can play a critical part in connecting on running yotes, especially when the distance is 100 yds or more. Slow bullets (2650-2800) dramatically increase the leade required.
When we were hunting Mexico, I went to a 6 Remington shooting the 60g Sierra's at 4000 fps to cut down on leade issues. Even a coyote walking at 150 yards requires a little leade and follow through with your swing. With the 60's at 4000, a hit dead center of the stomach or a little to the rear of the stomach, and the yote was laying right were he fell. In most 22 centerfires, if you don't break the diaphram, they will flip, flop, figure out they are not dead and are gone. 220 Swift and the 22/250 AI are great killers on non perfet hits behind the diaphram. 17 Rem and 17 M4 were not forgiving of hits behind the diaphram at all, most of the time.