A particle’s velocity for seconds is meters per second

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

Problem

A particle’s velocity for t≥0t\ge 0 seconds is v(t)=⟨6t,cos⁡t⟩\mathbf v(t)=\langle 6t,\cos t\rangle meters per second. Its position at t=0t=0 is r(0)=⟨1,2⟩\mathbf r(0)=\langle 1,2\rangle. Determine the particle’s position vector r(3)\mathbf r(3), including units.

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