If you'll excuse the shameless self-promotion, a nice case one can do
analytically is purely vertical up and down motion in the presence of
drag (quadratic or linear). An interesting approach is to do so using
energy methods rather than integration of Newton's second law:
I've taught such ideas in the intermediate mechanics course and used
Taylor's book (which I highly recommend). -Carl
--
Carl E Mungan, Assoc Prof of Physics 410-293-6680 (O) -3729 (F)
Naval Academy Stop 9c, 572C Holloway Rd, Annapolis MD 21402-1363 mailto:mungan@usna.eduhttp://usna.edu/Users/physics/mungan/