A ball of mass m₁ = 0. 206 kg and velocity 1. 40m/s collides elastically with a ball of mass m₂= 0. 299 kg and velocity -0. 409im/s. Assume the collision is head-on. (Express your answers in vector form. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign)
(a) Find their velocities after the collision (in m/s )
(b) Find the velocity of their center of mass before and after the collision (in m/s )