Vector Valued Functions and Motion in the Plane Worksheet with Answer Key

What's on the worksheet

1. Find the velocity $\mathbf{v}
   \mathbf{r}(t) = \langle te^{-t}, \sin^2 t \rangle\mathbf{r}(t) = \langle \arctan 2t, e^t\cos t \rangle
2. Seen from above, a gull glides over a beach.
3. A particle moves with $\mathbf{r}
4. A particle moves with $\mathbf{r}
5. A point moves around the ellipse $\mathbf{r}
6. A particle has acceleration $\mathbf{a}
7. Ava watches a hummingbird move from one flower to the next.