A particle moves in the plane with velocity meters per second for

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

Problem

A particle moves in the plane with velocity v(t)=⟨t−2, 2t−4⟩\mathbf v(t)=\langle t-2,\,2t-4\rangle meters per second for 0≤t≤40\le t\le 4. Compute (i) the displacement vector over this interval and (ii) the total distance the particle travels.

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