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\newcommand{\un}{\underline}
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\begin{center}
\textbf{Vector Functions and Curves}

\textit{\textbf{One variable functions}}
\end{center}

\textbf{Question}

Find the velocity, speed and acceleration of the particle with
position given by $\un{r}(t)$ at time
$t$. Also determine the particles path.

$\underline{r}=\underline{i}+t\underline{j}$

\textbf{Answer}

Position: $\underline{r}=\underline{i}+ t\underline{j}$

Velocity: $\underline{v}=\underline{j}$

Speed: $\it{v}=1$

Acceleration: $\underline{a}=\underline{0}$

Path: the line $x=1$ in the $xy$-plane.


\end{document}