@Xpand : interesting.
The formula I give (PID) is a general purpose method. This can be used to control systems using a feedback loop (with stability and precision to a certain degree).
Some specific formulas that model concrete physics models (like the one you give), might, however, work better or be more precise.
I would not care too much about CPU performance on today computers. This should not be the bottleneck. I would simply choose a method that can be tweaked easily and give the best gameplay. That is the most important aspect to me.
About the formula you give :
"K/(A+fabs(height)) " and also " vel^3 " where does this came from ? do you have any reference, paper, wiki page? (for learning) i'm (unlike you) not a physical engineer
I took a look at Hook formula, but it seems to be not that thing.
about "dividing the force by mass", it came from F = m a right (pretty basic stuff)?
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