Once you fire a rifle, everything is also Newtonian and deterministic. You still have to move into position, decide which target to fire at, with what ammo etc
What you describe is quite close to an actual weapon used in WW2, the SG 500:
It doesn't follow in every case, but here the calculations are things like missile ranges, acceleration values, maximum speed, etc. These all seem to be rather simple Newtonian calculations.
Basically the problem dilutes down to: plot an intercept course, fire weapons, rinse, repeat.
What you describe is quite close to an actual weapon used in WW2, the SG 500:
http://en.wikipedia.org/wiki/Jagdfaust