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Velocity of a Vector Valued Function

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The position of a particle is given by the vector function r(t)=⟨2t+1,t2⟩\mathbf{r}(t)= \langle 2t+1, t^2 \rangle. What is the velocity vector of the particle at t=1t=1?

A

The velocity vector at t=1t=1 is ⟨3,2⟩\langle 3,2 \rangle.

B

The velocity vector at t=1t=1 is ⟨1,2⟩\langle 1,2 \rangle.

C

The velocity vector at t=1t=1 is ⟨2,2⟩\langle 2,2 \rangle.

D

The velocity vector at t=1t=1 is ⟨2,1⟩\langle 2,1 \rangle.

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