A particle follows the path r(t)=⟨t,t2,0⟩\mathbf{r}(t) = \langle t, t^2, 0 \rangler(t)=⟨t,t2,0⟩. Find the velocity vector v(t)\mathbf{v}(t)v(t) at t=2t=2t=2.
⟨1,2,0⟩\langle 1, 2, 0 \rangle⟨1,2,0⟩
⟨1,4,0⟩\langle 1, 4, 0 \rangle⟨1,4,0⟩
⟨2,4,0⟩\langle 2, 4, 0 \rangle⟨2,4,0⟩
⟨0,2,0⟩\langle 0, 2, 0 \rangle⟨0,2,0⟩