For , the position of a particle is . At which of the following times is the particle…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

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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