A particle in space has acceleration

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

Problem

A particle in space has acceleration a(t)=⟨6,−4,0⟩\mathbf a(t)=\langle 6,-4,0\rangle. Given the initial velocity v(0)=⟨1,2,3⟩\mathbf v(0)=\langle 1,2,3\rangle and initial position r(0)=⟨0,5,−1⟩\mathbf r(0)=\langle 0,5,-1\rangle, determine the particle’s position vector r(t)\mathbf r(t).

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