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\noindent
\vfil \noindent

{\LARGE{
\hfil Math 120 A Autumn 2011 \hfil \pp
\hfil Mid-Term Exam Number One\hfil  \pp
\hfil October 20, 2011 \hfil \pp
\hfil Answers \hfil \pp
}}

\normalsize

There were two versions of the exam.

{\textbf{Version A}}

In version A, in problem 1, Maggie moves at 6 meters per second.

\begin{enumerate}
\item (a) $x=12-5.6921t, y=3-1.8974t$ (b) $\dsps D=\sqrt{ (12-5.6921t)^2+(3-1.8974t)^2}$

\item 5.2154 seconds

\item (a) $f(7)=10.8$ (b) The smallest value is $f(12)=3.46666$.

\item $x=-24$ is the only solution.

\end{enumerate}

{\textbf{Version B}}

In version B, in problem 1, Maggie moves at 8 meters per second.

\begin{enumerate}

\item (a) $x=15-7.4278t, y=7-2.9711t$ (b) $\dsps D=\sqrt{ (15-7.4278t)^2+(7-2.9711t)^2 }$

\item 8.61125 seconds

\item (a) 14.8 (b) The largest value is $f(-1)=64.66666$.

\item $8.4$ is the only solution.

\end{enumerate}

\end{document}


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