The position of a particle for is given by

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

Problem

The position of a particle for 0≤t≤50\le t\le5 is given by r(t)=⟨t3−6t2+9t, 4t−t2⟩\mathbf r(t)=\langle t^{3}-6t^{2}+9t,\,4t-t^{2}\rangle. At what time in this interval is the particle at rest? (a) t=1 and t=2t=1\text{ and }t=2 (b) There is no time in [0,5][0,5] at which the particle is at rest. (c) t=1t=1 (d) t=2t=2

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