Mathematics

Mathematics

Problem

The velocity of a particle moving in the plane is v(t)=⟨cos⁡t, sin⁡t⟩\mathbf v(t)=\langle \cos t,\,\sin t \rangle meters per second for 0≤t≤2π0\le t\le 2\pi. Determine (a) the total distance the particle travels and (b) the magnitude of the particle’s net displacement over this interval. Provide both answers in meters.

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