Motion on a line:

the position of two particles on the s-axis are s1 = sint and s2 = sin (t+pie/3), with s1 and s2 in meters and t in seconds

a) At what time(s) in the interval 0 <= t <= 2 pie do the particles meet?

b) what is the farthest apart that the particles ever get?

c) when in the interval o <= t <= 2 pie is the distance between the particles changing the fastest

a) would I set s1= s2 ? and then set everything to zero? and after that I am kind of lost

b) what I did so far is just go s1 - s2 and then take the derivative....... but don't know what to do after that

c) I don't know how to start this portion