Chapter 14.2, Problem 14.46P

A 900-lb space vehicle traveling with a velocity $v_0=\left(1500\text{ft/s}\right)\text{k}$ passes through the origin O. Explosive charges then separate the vehicle into three parts A, B, and C, with masses of 150 lb. 300 lb. and 450 lb, respectively. Knowing that shortly thereafter the positions of the three parts are, respectively, $A(250,250,2250)$ , $B(600,1300,3200)$ , and $C(-475,-950,1900)$ , where the coordinates are expressed in feet, that the velocity of B is $v_B=\left(500\text{ft/s}\right)\text{i+}\left(1100\text{ft/s}\right)\text{j+}\left(2100\text{ft/s}\right)\text{k}$ , and that the x component of the velocity of C is - 400 ft/s. determine the velocity of part A.