Let denote the position of a particle for (time in seconds)

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

Problem

Let r(t)=⟨t3−3t,  t2−4⟩r(t)=\langle t^{3}-3t,\; t^{2}-4\rangle denote the position of a particle for 0≤t≤30\le t\le 3 (time in seconds). For which value of tt in this interval is the particle’s speed minimized? (a) t=1t=1 (b) t=0t=0 (c) t=73t=\dfrac{\sqrt7}{3} (d) t=32t=\dfrac{3}{2}

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