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AP® Calculus AB-BC

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Vectors & Optimization

APCALC-EMMS1G

The position of a particle for $t\geq0$ is given by the vector equation $\vec{s}=\left(t\cos{t}\right)\vec{i}+\left(t\sin{t}\right)\vec{j}$.

For the interval $\left[0, \pi\right]$ what is the maximum speed of the particle?

A

$3.297$

B

$\pi$

C

$2.381$

D

$1.391$