A 750-lb space vehicle traveling with a velocity v0 = (1500 ft/s)k passes through the origin O. Explosive charges then separate the vehicle into three parts A, B and C, weighing, respectively, 125lb, 250lb, and 375lb. Knowing that shortly thereafter the positions of the three parts are, respectively, A(240, 240, 2160), B(600, 1320, 3240), and C(–480, –960, 1920), where the coordinates are expressed in feet, that the velocity of B is vB = (500 ft/s)i + (1100 ft/s)j + (2200 ft/s)k, and that the x component of the velocity of C is –400 ft/s, determine the velocity of part A.