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AP® Calculus AB-BC

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Moderate

Derivatives with Vectors 3

APCALC-SM1ZFZ

The position of a particle is given by the function $\vec{s}(t)=\langle t^2-4t+6, \frac{1}{3}t^3 \rangle$. Find the speed of the particle at $t=3$.

A

$85$

B

$\sqrt{85}$

C

$\sqrt{13}$

D

$13$