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\begin{document}
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\firstpageheader{\large Calculus I}{\bf\Large Related Rates}{\large Name:\hspace{1in} }
%\extraheadheight{.7in}
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%\small{\textit{Work all questions completely.  Show all work.}}

\begin{questions}
\large{

\question Gonzo is trapped in a hot air balloon which is rising from the
ground at $3$ ft/sec.  Kermit is standing $30$ ft from the point directly
underneath the baloon watching Gonzo ascend. How fast the the distance
from Kermit to Gonzo changing when Gonzo is $40$ ft from the ground? 
\vspace{3.5in}


\question Clueless the Muppet Pirate is sitting
40 ft above the deck
of his ship in look-out's station
on top of the mast.  One of his fellow pirates is running 
along the deck toward the mast
at 6 ft/sec.  How fast is the distance between Clueless and the other pirate
changing when the pirate is 30 ft from the mast?


\pagebreak

\question A pirate falls overboard and causes a circluar ripple in the water.
The radius of ripple is expanding at $7$ ft/sec.  
\begin{parts}
\part How fast is the area changing when the radius is $25$ ft?
\vspace{2.5in}
\part How fast is the  circumference changing?
\end{parts}
}
\end{questions}
\end{document}