The position of two particles on the x-axis are x₁ = sin t and x₂ = sin(t+ π/3) where t denotes the time. (a) At what time(s) in

Question

The position of two particles on the x-axis are x₁ = sin t and x₂ = sin(t+ π/3) where t denotes the time.
(a) At what time(s) in the interval t = [0, 27] do the particles meet?
(b) What is the farthest distance between the two particles?
(c) When in the interval t ∈[0, 2 π] is the distance between the particles changing at the fastest rate?

Kunduz · Accepted Answer

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