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\markright{Math 120 --- Version 1}

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\noindent
\vfil \noindent
\hfil MATH 120   \hfil \pp
\hfil  Exam II - Version 1\hfil  \pp
\hfil November 17, 2005 \hfil \pp
\vfil
Name {\leaders \hrule \hskip3.5in}  \pp

\bigskip

\hfil Student ID \#{\leaders \hrule \hskip1.5in}\hskip0.5in
\hfill
 Section {\leaders \hrule \hskip1.5in}\hskip0.5in\pp

\bigskip\bigskip

\centerline{HONOR STATEMENT}

``I affirm that my work upholds the highest standards of honesty
and academic integrity at the University of Washington, and that
I have neither given nor received any unauthorized assistance
on this exam."

\bigskip
\hfill SIGNATURE:\underline{\hskip3.0in}

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\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
 5 & 10 & \\ \hline
Total &50 & \\ \hline
\end{tabular}
}
\end{center}
\vfil
\begin{itemize}
\item Please check that your exam contains 5 problems on 5 pages.
\item Please turn your cell phone OFF and put it away for the duration of the exam.
\item Unless otherwise indicated, you must show your work.  The correct answer with no supporting work may result in no credit.  
\item If you use a guess-and-check method when an algebraic method is available, you may not receive full credit.
\item Put your name on your sheet of notes and turn it in with the exam.
\end{itemize}

\centerline{GOOD LUCK!}

\newpage

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\begin{enumerate}

\item (10 points)  Let $u(t)$ be the basic step function:

$$u(t) = \left\{ \begin{array}{cl}
0, & \mbox{if $t<0$} \\
1, & \mbox{if $0\leq t \leq 1$} \\
0, & \mbox{if $t>1$}
\end{array} \right. $$

Give the multi-part rule for the function $w(t)=u(t-5)+t^2\cdot u(t+2)$.

\newpage

\item (10 points)  Below is the graph of a multi-part function $f(x)$, whose graph consists of part of a parabola and a line segment.  

\input{pict02}

Sketch the graph of the function $g(x)=-\frac14f(2x)+3$.  Put your final answer on its own set of axes and draw a big box around it.  Label the coordinates of at least 4~points on your final graph of $g(x)$.

\newpage

\item (10 points)  Pam is on a piazza in Rome, studying a tall statue.  The base of the statue is level with Pam's eyes.  Pam measures the angle from horizontal to the top of the statue to be 49~degrees.  After moving 7~feet closer to the statue, she measures again and finds the angle to be 55~degrees.  How tall is the statue?

\input{pict03}

\newpage


\item (10 points) Elena is practicing her pole vaulting.  After training for 50~hours, she can clear a height of 3.85~meters.  After training for 200~hours, she can clear a height of 4.7~meters.  With unlimited training, she will approach (but never exceed) the world record of 5~meters.  Find a {\bf linear-to-linear} rational function $h(t)$ that models Elena's pole vaulting height after $t$~hours of training.

\newpage




\item (10 points)  Pete runs 6~miles per hour in a counter-clockwise direction around a circular track with radius 200~feet, starting at the point $P$.

\input{pict01}  

\begin{enumerate}

\item After running for 2~minutes, Pete passes the point $H$ for the first time.  Find the angle $\theta$ in radians.

\vfill

\item After running for a total of one hour, Pete stops and walks in a straight line back to the point $P$ (where he left his warm-up jacket).  How far does he walk?

\vfill

\end{enumerate}

\newpage



 \end{enumerate} \end{document}


