From earlier in the thread, I believe someone stated that certification standards mandate that Go Around thrust is effective within 8 seconds of throttle application. However, it is usually effective in less time, such as 5 seconds.
I believe it was also noted that was from a stable approach with engines powered up - not flight idle, at a very slow speed - way behind the inertia curve. I think I recall someone said it would likely have taken 10+ seconds to spool AND overcome the existing sink rate.