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Here is my attempt to present the basic equations in a way that
is self-consistent, reasonably standard, and reasonably tasteful:
http://www.av8n.com/physics/intro-acceleration.htm
Option (a) [delta(v) = v_2 - v_1] is slightly inferior to option
(b) [delta(v) = v - v_1], on the grounds that an artist should make
the final result look good, even if the intermediate stages dont look
very good.