Determining maximum separation


Assignment:

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 particles changing the fastest?

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Mathematics: Determining maximum separation
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