How long can I draw 5 Amps from AAAA batery
A short google gave these figures for an AAAA NiMH battery:


capacity 500 mAh
Voltage 1.2V
resistance 50 mOhm


When you draw 5A from such a battery it drops 0.25V (due to its internal resistance), so the voltage you get is 0.95V. Take 14 batteries and you get 13.3 Volt. Hence the correct answer (based on the figures) is indeed 0.

My gut feeling (but I found no figures) is that an AAAA cel is not designed for 5A current and might exhibit 'undesired' behaviour. (Heating up, being damaged, catching fire, exploding). Even 500mA might be too much.

In short: don't do this, switch to 'beefier' cells. D might be a better choice.