  We compare two ways of force terms generating in the model of nonrelativistic
particle moving in the presence of constant field force $\vec{F}$. First of
them uses the twist-deformed acceleration-enlarged Newton-Hooke quantum
space-times while the second one incorporates the doubly enlarged Newton-Hooke
transformations of classical space. Particulary, we find the conditions for
which the both treatments provide the same force terms.
