battery rating question

If a 12 volt battery is rated at '14 amp hours', does that mean it is capable of powering a load that draws 14 amps, at 12 volts, for one hour before the voltage starts to sag below 12 volts? Or does it just mean that if the battery was completely exhausted using a custom load that continued to pull current out of it even as the voltage tapered off, and the total power added up and restated in terms of 'amp-hours', it would be the equivalent of 14, but the reality is that if you had a load that drew 14amps at 12 volts, long before the hour was up, the voltage would drop below 12.

How long would a typical 14 'amp hour' gel-cell run a 12volt, 15amp load before the voltage dropped 10%?

If you had a 12 volt gel-cell that was partially (say 1/3 )depleted, and you simply hooked it straight up to a 12 volt ac/dc power supply, would it recharge? What would happen when the battery was fully charged?

Huh, that's usefull info, thanks. How about recharging a thusly depleted gel-cell by simply hooking it up to 13.8v ac/dc power supply?

NO, There's a specified maximum charging current that you need to observe.