A 500-kg space vehicle traveling with a velocity v0 = (450 m/s)i passes through the origin O at t = 0. Explosive charges then separate the vehicle into three parts A, B, and C of masses 300-kg, 150-kg, and 50-kg, respectively. Knowing that at t = 4 s, the positions of parts A and B are observed to be A (1200 m,−350 m,−600 m) and B (2500 m, 450 m, 900 m), determine the corresponding position of part C. Neglect the effect of gravity.