Just got back from seeing the movie. Excellent!... except for the ever-growing ship sizes. But alas, move on.
One thing I picked up on, which I haven't heard discussed here yet, was Carol Marcus' comment that Adm. Marcus had been dabbling with transwarp technology -- and hence why he could easily catch the Enterprise. Very nice homage to the Excelsior, and a "what could have been" it it had been designed for nefarious purposes.
Also, as others have pointed out: Scotty crippled it quite easily. The more they over-think the plumbing, the easier it is to stop up the drain.