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We present the pseudorapidity distributions of charged particles in nucleus-nucleus collisions as functions of beam energy and impact parameter through weighted superposition of the pseudorapidity distributions in the effective binary nucleon-nucleon collisions.Using the theoretical model we then analyze the experimental measurements carried out by the BNL-RHIC-PHOBOS collaboration in Cu+Cu collisions at (√SNN) =200,62.4 and 22.4 GeV.The model has only two free parameters and the theoretical results favor the experimental measurements well.