Mathematics

Mathematics

Problem

For 0≤t≤2π0\le t\le 2\pi, the position of a particle is r(t)=⟨3cos⁡t, 3sin⁡t, 4t⟩\mathbf r(t)=\langle 3\cos t,\,3\sin t,\,4t\rangle. Determine whether the particle moves with constant speed, and state that speed if it is constant.

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