### Determining the Maximum Separation

The positions of two particles on the s-axis are s1=sin t and s2=sin(t+ π /3), with s1 and s2 in meters and t in seconds. a) At what time(s) in the interval 0 ≤t ≤ 2π do the particles meet? b) What is the farthest apart that the particles ever get? c) When in the interval 0 ≤t ≤ 2π is the distance between the parti