Pauly -
Your mention of Beagles and rabbits brought back a memory of one of the Beagles I had in my early teen years: We were up in our local SoCal mountains one weekend and I was walking him along a rarely traveled one-way road when we both spotted a single quail about 50 feet ahead of us. I reached down and unclipped his leash and the dog was after the quail like he was shot out of a cannon.
The next scene was straight out of Roadrunner cartoon.
The bird started running and just when my Beagle was about four feet from catching it, the quail made an immediate full speed 90-degree turn to the right.
My dogs head turned but his body kept going straight as he tried to get his legs to make the turn.
The quail disappeared into some brush and my dog stopped and looked all around trying to find the bird. He finally looked back at me with an expression that said, "WTH was that?"