(20pts) Two particles collide obliquely in the manner shown below. Both particles are of mass m. Particle 1 moves with a velocity Vo before collision and particle 2 is at rest initially. The coefficient of restitution is e. Let the x-axis be the line of impact and the y-axis represent the plane of contact. Let the velocity components of the particle 1 after impact be v1x and vjy and those of particle 2 after impact be vax and Vzy. a) (12pts) Determine Vix, Vly, Vax and Vay in terms of Vo, 0, e and m. b) (4pts) Derive an expression of the angle a at which particle 1 moves after impact. The angle a is shown below. c) (4pts) If 0 = 30, what value of e will result in a = 60? ( Plane of contact ) ( line of impact) A VA m