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Velocity Vector for Parametric Equations

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The position of a particle is given by the parametric equations x(t)=sin(2t)x(t) = \sin(2t), y(t)=t2+1y(t) = t^2 + 1. What is the velocity vector at time t=π4t = \displaystyle\frac{\pi}{4}?

A

0,π2\langle 0, \displaystyle\frac{\pi}{2} \rangle

B

0,π\langle 0, \pi \rangle

C

1,π2\langle 1, \displaystyle\frac{\pi}{2} \rangle

D

2,π2\langle 2, \displaystyle\frac{\pi}{2} \rangle

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