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)=⟨2t−3,  t2−4t+6⟩\mathbf v(t)=\langle 2t-3,\;t^{2}-4t+6\rangle meters per second for t≥0t\ge 0. Its xx–coordinate is 77 meters at t=0t=0, and its yy–coordinate is 99 meters at t=2t=2. Find the particle’s complete position vector r(4)\mathbf r(4), giving exact values.

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