I apologize for being a smart a#@, but only had a few seconds free to reply yesterday.
Incidentally catching a small shark, <3ft, say while king fishing, is one thing. But if you plan to deliberately target sharks from a kayak, you need to consider how big some of these sharks you may hook can be. Unless you are in a very specific situation where you can sight-cast to a shark of known size, you will have NO control what-so-ever of the size shark that eats your bait.
Compare the following numbers to the stats on your yak: 11ft 6inches long, 60lbs kayak weight, 350lbs carrying capacity.
It could be a little 3ft black tip, or how about a pissed-off 7foot 200ish lbs bull shark, or even a 16ft 1,000lbs+ Mako, or anything in between! There are professional shark-fishermen that WILL NOT target sharks from motorboats less than 18ft because of the danger involved.
Also, DO NOT target sharks solo. There need to be at least 3 of you WEARING you PDFs the whole time. You all need to have knives and wire cutters attached to the jackets, in case SHTF and you need to cut the shark off. Don't even think about trying for a double-header. If 1 person hooks up, everyone else needs to stop fishing and pull in their lines to help if needed.
All this is not to say "Don't ever target sharks from a kayak!". A few friends and I plan on trying for a few small blacktips inshore this season. However, it'll be in a group of us in big kayaks (ex: mine is a 16footer). You may get different answers from some of the other guys, but I'd say wait till you have at least a 12-13ft yak, 14ft would be even better. Or you can go out with someone who has a big yak to spare.