For , a particle has velocity meters per second. Calculate the particle’s vertical (…

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

Problem

For 0≤t≤π0\le t\le \pi, a particle has velocity v(t)=⟨cos⁡t, t⟩\mathbf v(t)=\langle \cos t,\,t\rangle meters per second. Calculate the particle’s vertical (yy-direction) displacement from t=0t=0 to t=πt=\pi.

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