Mathematics

Mathematics

Problem

For 0≤t≤40\le t\le4, the position of a particle is r(t)=⟨(t−2)2, (t−2)3⟩\mathbf r(t)=\langle (t-2)^{2},\,(t-2)^{3}\rangle. At which of the following times is the particle at rest? a) t=1t=1 b) t=3t=3 c) t=2t=2 d) The particle is never at rest on [0,4][0,4]

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