When you're training for a new certificate or rating, you practice. A lot. But after you pass your checkride, how often do you practice maneuvers and procedures? The reality for most pilots is "rarely". Raw stick-and-rudder skills fade over time without practice, so try incorporating these maneuvers into your next flight.
When it comes to takeoff performace, your POH is always the place to make your final decisions. But if you're looking to make some quick estimates, here are 7 rules-of-thumb that will help.
It's pretty much impossible to explain aerodynamics without heavily simplifying it. Aerodynamics is a field for engineers, based on differential equations that don't have much use in the cockpit.