In this new - second volume of the visual crash course of "Armenian Theory of Relativity", which is organic sequel of the first volume, we discuss the case (Case B) where observing coordinate systems moving against each other with arbitrary acceleration. We also used the most general considerations and only a pure mathematical approach, and in so doing, we build a theory of general relativity (kinematics) and received Armenian direct and inverse transformation equations for observed test particle coordinates differentials. Our visual book, which is also made for broad audiences of physicists, does not generalize legacy theory of general relativity, but using totally new approach and without limitations, in one dimensional physical space, building more logical and correct theory of general relativity (for now kinematics only), which has one additional new universal constant (s). Our received Armenian direct and inverse transformation equations for moving test particle coordinates differentials we can also obtain in a very easy way from the Armenian Theory of Special Relativity (Volume A) transformation equations, by just taking test particle coordinates two infinitesimal points, where reciprocal relative velocities between observing systems are instantaneous variable velocities. But we prefer to go hard way to show the fact that Armenian Theory of Relativity is a solid mathematical theory. In this volume we also faced contradictions and our next volumes we will solve those "contradictions". We also advise readers to be very cautious when comparing legacy theory relativity with the Armenian Theory of Relativity, especially when instead of trying to understand the new theory, they use their whole energy trying to find “mistakes” or “paradoxes” in Armenian Theory of Relativity. Please just try to remember that legacy theories of relativity are symmetric theories, but Armenian Theory of Relativity is asymmetric theory of relativity. Proofs in this volume are also very brief and therefore readers need to put sufficient effort to prove all providing formulas.