For , a particle has velocity meters per second. The particle’s –coordinate is meters…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

For t≥0t\ge 0, a particle has velocity v(t)=⟨2sin⁡t+1,  3t2⟩\mathbf v(t)=\langle 2\sin t+1,\;3t^{2}\rangle meters per second. The particle’s xx–coordinate is 44 meters at t=0t=0, and its yy–coordinate is 1515 meters at t=2t=2. Determine the particle’s position vector r(2)\mathbf r(2), expressing each component exactly.

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