From Forces to Motion

Newton's second law turns forces into an acceleration; the equations of motion turn that acceleration into velocities and positions.

The net force F − f sets the acceleration a; the equations of motion take it from there.

Add the forces with signs, divide by the mass, then use the acceleration:

a = ΣF / m, v = v0 + a t, Δx = v0 t + ½ a t²