Suppose the parametric equations for a moving charged particle in an electromagnetic field take the following forms: The trajectory of such a moving particle is shown in the figure below, where 0 ≤ t ≤. Find the length of arc ABC. Note: cos(2t) = 1 - 2sin²(t), cos(a - B) = cos(a) · cos(B) + sin(a) · sin(ß). Position y in meters 15 10 5 x = 11· cos(t)- 6 cos, y = 11. sin(t)- 6. sin -10 -20 -15 B -10 -5 0 Position x in meters 5 10 Figure 1: Trajectory of a particle for 0 ≤ t ≤ 6.

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