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Mathematics, 04.09.2021 18:50 ray1840

Calculus again! A yo-yo is moving up and down a string so that its velocity at time t is given by v(t) = 4cos(t) for time t ≥ 0. The initial position of the yo-yo at time t = 0 is x = 4. Find the displacement and distance from time t = 0 to time t = π.
I know that the displacement would be calculated by \int\limits^0_\pi {4cos(t)} \, dx and the displacement would be calculated by \int\limits^0_\pi {|4cos(t)|} \, dx, but would both be 0? Thank you!

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