Algebra 36. The position of two particles on the x-axis are x = sint and x2 = the time. sin(t+/3) where t denotes (a) At what time(s) in the interval t [0,2] do the particles meet? (b) What is the farthest distance between the two particles? (c) When in the interval t = [0,2] is the distance between the particles changing at the fastest rate?