@ tubbeebucket222,
I'm saying you wouldn't even need to give a person a 10 min wait if they get kicked. Let them start a new game, try to troll again, and get kicked again. Even in your case if everyone else agreed to kick you... you could just start a new game and try again. Furthermore if Riot implemented a kick feature i would assume it would be similar to the reporting system, whereas you would have to put a reason for initiating a kick, like trolling, abuse, or intentional feeding. I would imagine it's more of a justified kick feature, not a "lets all just kick this guy kind of feature".