You would need force generators. Things that will generate a force, which can then be converted into an acceleration for each object (F=m*a). Remember it needs to be in x,y, and z components. You can then add the accelerations to each object affected by the force.
These equations might help (note that these assume constant acceleration, such as gravity and such).
S=1/2*a*t^2+Vo*t+So
Where a=acceleration, t=time, Vo=initial velocity, S and So=Displacement and initial displacement, respectively.
Vf^2=Vo^2+2*a*(s)
Where Vf=Final velocity Vo=initial velocity, a=acceleration, and s=displacement
Vf=a*t+Vo
Pretty straightforward here. Final Velocity=acceleration*time+initial velocity.
You could use some kinetic energy ones too:
Ke=1/2*m*v^2
This is useful for collisions and figuring out how fast each object moves afterwards. Remember ENERGY IS ALWAYS CONSERVED! So if a moving train hits a stationary one, the total kinetic energy of the system before AND after the collision will be 1/2*m1*v1^2 . However, if both are moving, you have to add each kinetic energy together to find the total kinetic energy of the system.
If you want any others, I have a few more formulas lying around I can donate.
Great Quote:
"Time...LINE??? Time isn't made out of lines...it is made out of circles. That is why clocks are round!" -Caboose