A cannon is mounted on a railroad car. The cannon shoots a $1.75-\mathrm{kg}$ ball with a muzzle velocity of $30 \overline{0} \mathrm{~m} / \mathrm{s}$. The cannon and the railroad car together have a mass of $45 \overline{0} \mathrm{~kg}$. If the ball, cannon, and railroad car are initially at rest, what is the recoil velocity of the car and cannon?