Based on this... http://www.hornady.com/store/22-250-Rem-40-gr-V-MAX/ that round is slightly less powerful at 500 yards than a 22 magnum at the muzzle.
So at 500 yards the 22-250 would really ruin a coyotes day... if you can hit it at that range.
So at 500 yards the 22-250 would really ruin a coyotes day... if you can hit it at that range.