Suppose for a particle in the plane

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

Problem

Suppose a(t)=⟨6t,12⟩\mathbf a(t)=\langle 6t,12\rangle for a particle in the plane. If v(1)=⟨10,−4⟩\mathbf v(1)=\langle 10,-4\rangle and r(1)=⟨−2,5⟩\mathbf r(1)=\langle -2,5\rangle, what is r(3)\mathbf r(3)? (a) ⟨32,21⟩\langle 32,21\rangle (b) ⟨38,15⟩\langle 38,15\rangle (c) ⟨38,21⟩\langle 38,21\rangle (d) ⟨32,15⟩\langle 32,15\rangle

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