A particle follows a path r(t)=⟨t2,sin(t),et⟩\mathbf{r}(t) = \langle t^2, \sin(t), e^t \rangler(t)=⟨t2,sin(t),et⟩. What is its velocity vector at t=0t=0t=0?
⟨0,1,1⟩\langle 0, 1, 1 \rangle⟨0,1,1⟩
⟨0,0,1⟩\langle 0, 0, 1 \rangle⟨0,0,1⟩
⟨1,0,1⟩\langle 1, 0, 1 \rangle⟨1,0,1⟩
⟨0,1,0⟩\langle 0, 1, 0 \rangle⟨0,1,0⟩