The motion and vibration of a moving body running on a complicated 3 dimensional (3D) trajectory considering an air resistance are investigated in this paper. A roller coaster is treated with here as a concrete example of moving body. The equations of motion of a roller coaster in which a trajectory and a vehicle are coupled are derived by using differential algebraic equation. In the previous paper, a roller coaster has been modeled as a one-wheel vehicle. In this paper, it is modeled as a two-wheel vehicle. The Baumgarte method is adopted for numerical stabilization. In this analysis, the influence of air resistance and rolling resistance, and the interaction between a vehicle and passengers as for a riding comfort of roller coaster are investigated. And also, the transmissibility of vibration through suspensions of roller coaster is studied in order to keep the safe security in the strength of rotating wheels and shafts. Besides, a part of simulations are compared with the experiments reported by previous paper.