Assess students' ability to apply vector conservation of linear momentum to solve two-dimensional inelastic collision problems. Tasks include decomposing velocities into components, computing the center-of-mass velocity, transforming between lab and center-of-mass frames, solving for final speeds and scattering angles for partially and perfectly inelastic two-body collisions (using coefficient of restitution where applicable), and calculating the kinetic energy lost. Problems require algebraic derivations and numeric solutions.