A particle moves with position r(t)=⟨t,t2,t3⟩\mathbf{r}(t) = \langle t, t^2, t^3 \rangler(t)=⟨t,t2,t3⟩. What is its acceleration vector a(t)\mathbf{a}(t)a(t)?
⟨0,2,6t⟩\langle 0, 2, 6t \rangle⟨0,2,6t⟩
⟨1,2t,3t2⟩\langle 1, 2t, 3t^2 \rangle⟨1,2t,3t2⟩
⟨0,0,6⟩\langle 0, 0, 6 \rangle⟨0,0,6⟩
⟨0,2,0⟩\langle 0, 2, 0 \rangle⟨0,2,0⟩