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\textbf{Math 220 (section AD?) \hfill Quiz 6 \hfill Spring 2014} \\
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\textbf{Name}\ \rule{4in}{0.4pt} \hfill
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$\bullet$ You have 15 minutes \hfill $\bullet$ No calculators \hfill $\bullet$ Show sufficient work
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\noindent
\begin{enumerate}
\item (3 points) A camera is positioned on the ground $3000$ feet from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Suppose the rocket rises vertically and its speed is $600$ feet per second when it has risen $4000$ feet. How quickly is the camera's angle of elevation increasing at that moment?
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\item (3 points) Determine a formula for $w$ as a function of $r$ given that $\D{6w' + 3w = 0}$ and $w(0) = 3$. Hint: You may recognize the solution more quickly if you first solve the given equation for $\D{w'}$.
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\item (4 points) A man is standing on a bridge over a river. He reaches over the railing and throws a stone vertically upward. Until it lands in the river, the stone's height in feet above the river is $\D{h = -16t^2 + 64t + 80}$ where $t$ is measured in seconds since the stone was thrown.
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\item What is the maximum height reached by the stone?
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\item What is the velocity of the stone as it strikes the river?
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