Suppose that the position of one particle at time tis given by XL = 25mm, y1 = 2cos[t), CI 5 t g Zr: and the position of a second particle is given by x2 = 72 + (050'), V2 = 1 + sin{t}, 0 5 ts 27:. (3) Graph the paths of both particles. Y 0 HOW manyr points of intersection are there? \\:I points of intersection (b) Are anyr of these points of intersection collision points? In other words, are the particles ever at the same place at the same time? D Yes lDl'ilo If so, nd the collision points. (Enter your answers as a commaseparated list of ordered pairs. If an answer does not exist, enter DNE.) (c) If the xcoordinate of the second particle is given by X; = 2 + cos{t) instead, is there still a collision? D Yes lDNo