First, you kill a giant chicken trying to slaughter you and all your family. Then you try to kill a crazy punk trying to maim and slaughter your family. Of course, the next logical step is to murder a wounded police officer! I say, that's what shitty Yuu did to Tora, treating him as if he was already a cold-blooded murderer.
It wasn't even a realustic way to kill. Was an extender just lying there for anyone to grab?