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Speed From a Position Vector

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A particle’s motion in a plane is described by the position vector p(t)=(3t2−2t,4t+1)\mathbf{p}(t) = (3t^2 - 2t, 4t + 1). What is the particle’s speed at time t=2t = 2?

A

26\sqrt{26}

B

2262\sqrt{26}

C

2626

D

4264\sqrt{26}

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