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If the motor and battery pack will fit in - don't see why not.
If you prop. for 30 Amps (a bit less would probably be safer) you would be putting some 300+ watts in from your 3 cell pack This would mean something like 240watts at the propellor shaft (around 1/3rd horse power)
(Your 2 cell pack may be suitable - but the lower voltage would mean only 2/3rds the power at the same currents - OK if your model is not too heavy)
A 30 second run should get you amply high. A good (healthy) 2200mAH pack will nominally give you 132 amp minutes (absolute max) Your 30 second run will use 15 amp minutes
Play safe and recharge every 4 or 5 flights. Or run less amps or seconds. eg 20 second climb will use 10 amp minutes - should be safe for 6/7 climbs alternatively prop for 20 amps, run 30 seconds - works out the same.
Play it safe to start with - fly less climbs, check out how much you have to put back in. NB - in cold weather, dont start with a cold battery pack - its performance and life will suffer. Try to keep the pack at about 20C
Lastly - make sure the C rating of the pack is adequate for the current you will pull. At 30A you will need about 15C or better on a 2000mAH size pack. (Good makes will deliver their C rating - dodgy brands make big claims and sometimes struggle. Kokams have always had a good reputation, Loong Max from Giant Cod etc have also proved excellent and excellent value for money)
With on field chargeing - or just a spare flight pack, you should get lots of flying in - and good battery life.
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