Noncommutativity and the Motion of D$_p$-brane along Itself

We consider open strings attached to a moving D$_p$-brane with motion along itself, in the presence of the backgrounds $B_{\mu \nu}$-field and a U(1) gauge field $A_{\alpha}$. The effects of the motion of the brane on the open string propagator and on the open string variables are studied. We observe that some free parameters appear in the open string variables and in the propagator of it.