So. I was thinking of what to carve on my pumpkin earlier and thought, "What's something that'll scare the pants off of anyone, even high schoolers?" Bingo, air resistance. Many of us were shaking in our boots when Mr. Fullerton derived a few drag-related equations, but looking back they're not too bad right?
Here's a little review. That long page really boils down to a few key equations:
Air resistance = Fdrag = bv = cv2 , where b and c are constants
V = VT ( 1 - e(-b/m) )
V = (mg/b)( 1 - e(-b/m) )
a = g e(-b/m)t
Some equations may contain the variable tau, which looks like a backwards J or a T with a tail. I will use T to represent tau. It is a time constant that can be substituted into the equations above. Tau = T = m/b.
I hope that helped a little. Sleep with the lights on tonight, folks. 'Tis the season!