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\textbf{Math 220 (section AD?) \hfill Quiz 6 \hfill Spring 2013} \\
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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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\begin{enumerate}
\item (3 points) A child is flying a kite and is letting out $2.4$ feet of string per second. If the kite stays $60$ feet above the ground as it moves horizontally, then at what speed is the kite moving when there is $100$ feet of string let out? You should assume that there is no sag in the string.
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\item (3 points) A ball is thrown straight up from an initial height of $40$ feet above the ground. Until the ball hits the ground, the function $h = -16t^2 + 24t + 40$ represents the ball's height in feet above ground level $t$ seconds after it was thrown. What is the velocity of the ball at the instant it hits the ground?
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\item (4 points) Solve the following differential equations given that the graph of each solution goes through the point $(0,3)$. You must use the given variables.
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\item $\D{\frac{dq}{dv} = 0.5v}$
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\item $\D{\frac{dq}{dv} = 0.5q}$
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