A particle has position vector meters

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

Problem

A particle has position vector r(t)=⟨t2−3t,  4sin⁡t⟩\mathbf r(t)=\langle t^{2}-3t,\;4\sin t\rangle meters. Calculate its velocity vector at t=3t=3 seconds.

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