Chapter 12.2, Problem 1E

To determine

To Graph: The curve represented by the vector-valued function $r\left(t\right)=t^{2}i+tj$ and sketch the vectors $r\left(t_0\right)$ and $r^{\prime }\left(t_0\right)$ where $t_0=2$ and the initial point of $r\left(t_0\right)$ is at origin and the initial point of $r^{\prime }\left(t_0\right)$ is at the terminal point of $r\left(t_0\right)$ and determine from the graph, the relationship between $r^{\prime }\left(t_0\right)$ and the curve.