Didn't Kirk Sr turn on the Kelvin's warp drive right before smashing into the Narada? I'm pretty sure there was a close shot of the end of the nacelle glowing during the ramming sequence, so Kirk might have stayed behind to some weird warp crap.
Or perhaps it's not a fuck-up at all.Yeah, the Kelvin's warp nacelle did glow up when it went to full impulse... I say it's an on screen fuck up just as the turbolift to the shuttlebay.
The Nero comic under discussion in this thread suggests that it was intentional and purposeful. Perhaps the warp engine was unusable as a means of escape, but not completely useless.