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\begin{document}

\noindent
\vfil \noindent
\large
\hfil Math 120 B, C - Autumn 2008 \hfil \pp
\hfil Mid-Term Exam Number One\hfil  \pp
\hfil October 16, 2008 \hfil \pp
\normalsize
\vfil
\medskip
\hfil Name: \hrulefill \hrulefill \hspace{0.5in} Student ID no. : \hrulefill

\vfil

\hfil Signature: \hrulefill \hrulefill \hrulefill \hspace{0.5in} Section: \hrulefill 
 
\vfil
\begin{center}
{\large
\begin{tabular}{||c|c|r||} \hline 
 1 & 10 &\hspace{10mm} \hfil\\ \hline 
 2 & 10 &       \\ \hline
 3 & 10 &      \\ \hline
4 &  10 &    \\ \hline
Total & 40 & \\ \hline 
\end{tabular}
}
\end{center}
\vfil
\begin{itemize}
\item Complete all four questions. 
\item You may use a scientific calculator during this
examination.  Graphic calculators are not allowed.
Also, other electronic devices are not allowed, and should be
turned off and put away for the duration of the exam.
\item If you use a trial-and-error or guess-and-check method,
or read a numerical solution from a graph on your calculator
when an algebraic method is available, you will not receive full credit.
\item You may use one hand-written 8.5 by 11 inch page of notes.  Write
your name on your notesheet and turn it in with your exam.
\item Show all work for full credit.  
\item You have 50 minutes to complete the exam. 
\end{itemize}
\vfil
.

\newp

\begin{enumerate}


\item Jo went for a short run.  She ran SOUTH at 3 meters per second for 90 seconds.
She then turned and ran WEST at 4 meters per second for 124 meters.  She then 
turned and ran SOUTH at 2.5 meters per second for 130 seconds. 

Express the (straight-line) distance from Jo to her starting point as a multipart
function of $t$, the number of seconds she has been running.

\vfil \eject

\item Maria was swimming in the ocean.
She swam from a point 80 meters EAST and 90 meters NORTH of a buoy
directly to a point 100 meters SOUTH and 200 meters EAST of the buoy.

How close did she come to the buoy?

\vfil \eject

\item Alex and Barry are running with a taut (i.e., there is no slack) 
bungee cord between them.  

Alex runs in the direction indicated by the arrow at 3 ft/sec.  

Barry runs in the direction indicated by the arrow at 6 ft/sec.

At time $t=0$, Alex is 49 feet from point P, and Barry is 30 feet from point P.

At what time $t$ will the bungee cord hit the corner of the building?


\epsfig{file=bungee-a.eps, 
 width=9cm,
 angle=0 }

\vfil \eject

\item Let $g(x)=2x^2-3x+7$.  Assume $m \neq 0$. Simplify the expression
\[
\frac{g(a+m)-g(a-m)}{m}
\]
as far as possible.

\end{enumerate}


\end{document}


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