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A yo-yo is moving up and down a string so that its velocity at time t is given by v(t) = 3cos(t) for time t ≥ 0. The initial position of the yo-yo at time t = 0 is x = 3.
Part A: Find the average value of v(t) on the interval open bracket 0 comma pi over 2 close bracket. (10 points)
Part B: What is the displacement of the yo-yo from time t = 0 to time t = π? (10 points)
Part C: Find the total distance the yo-yo travels from time t = 0 to time t = π. (10 points)
