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May I also chime in with a preference for your outline of topics. We spend
too much time with the kinematic equations for constant acceleration -
mostly because we wish to apply F=ma at some point. These are really math
equations, not physics per se. It may be nice to know how long a runway
must be if an aircraft with a certain acceleration needs a certain take
off speed - but these are math problems. We probably only do them in our
courses because we spent time developing the kinematic equations. If we
covered other topics, and used impulse<-->momentum instead of F=ma, we
would probably find a whole new set of problems that we would feel are
important.