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\noindent
\vfil \noindent
\large
\hfil Math 120 C - Autumn 2009 \hfil \pp
\hfil Mid-Term Exam Number One\hfil  \pp
\hfil October 22, 2009 \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.  Graphing 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
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 Pedro decides to go for a walk.  He starts by
walking NORTH for 3 hours at 2.5 miles per hour.
Then he turns and walks SOUTH at 4 miles per hour for
1 hour.  He then turns and walks WEST at 5 miles per hour
for 2 hours.

Express the distance from Pedro to his starting point as
a multi-part function of the time $t$ since he started walking.

\newp

\item Lin is hiking near the Circular Forest, which has the shape
of a perfect circle, 20 km in diameter.  Lin starts her hike from
a point 3 km SOUTH and 2 km EAST of the SOUTHERNMOST point of the forest.
She then walks in a straight line to a point 4 km EAST and 6 KM NORTH
of the NORTHERNMOST point of the forest.

\begin{enumerate}
\item  Lin hikes at a constant speed of 4 km per hour.  How much time
did she spend in the forest?
\vfil \vfil
\item On Lin's hike, where is she when she is closest to the EASTERNMOST point of the
forest?  You may give your answer in $x$- and $y$-coordinates in whatever coordinate
system you use to solve the problem.
\end{enumerate}


\newp

\item In the year 2000, Tim was 70 cm tall.  In the year 2008, Tim was
110 cm tall.

In the year 1995, Yolanda was 50 cm tall.  In the year 2002, Yolanda was 60 cm tall.

Assume that Yolanda and Tim both grow according to linear models.

When will Tim be twice as tall as Yolanda?  Express your answer in years
after 2000.


\newp

\item Hugo is walking in the $xy$-plane.  He walks in a straight line at a constant
speed.  He begins from the point (-2,-3) and heads directly toward the point (4,1),
reaching the $x$-axis after 5 seconds.

Express Hugo's $x$- and $y$-coordinates using parametric equations in $t$, the time
since he left the point (-2,-3).


\end{enumerate}





\end{document}


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