Lags? How exactly and what is serious work? I have the last non-Air iPad and it still Senna snappy to me. I'm normally pretty critical of UI performance.
Mostly reading, sketching and writing. I couldn't ever get my iPad to work for anything major other than these three things. While individual apps work fine, app switching almost always results in an app-refresh.
I'm guessing you have the iPad 3 (the 'new iPad'), which had significantly better specs than the iPad 2 (along with a better screen, I think).
EDIT: Just realized I wrote "iPad Air 2", instead of just "iPad 2 3G".
I have the iPad 4th generation, often forgotten slight upgrade on iPad 3. Both have double the memory of iPad 2, which probably explains the app refresh difference. However, I had the iPad 1 too, and currently have iPhone 4S. Both seemed to get worse with time having been snappy to start with though. We are talking about 4-5 year old devices, possible just more OS functionality and bigger apps use up that memory.