The position of a particle is given by for

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

The position of a particle is given by r(t)=⟨4t3−2t, sin⁡(3t)⟩\mathbf r(t)=\langle 4t^{3}-2t,\,\sin(3t)\rangle for t≥0t\ge 0. Determine the acceleration vector a(1)\mathbf a(1). (a) ⟨24,−0.42⟩\langle 24,-0.42\rangle (b) ⟨24,−1.27⟩\langle 24,-1.27\rangle (c) ⟨12,−1.27⟩\langle 12,-1.27\rangle (d) ⟨24,1.27⟩\langle 24,1.27\rangle

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