Three children are playing on a skating rink. Allie slides southward and runs into Billie and imparts a force of Y newtons. Callie slides westward, also runs into Billie, and imparts a force of Z (Z = 106) newtons. Billie's mass is Y (Y = 20.5) kilograms. Draw a diagram of this system, labeling any vectors or quantities that are significant; then calculate Billie's velocity two seconds after the collisions.