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{\hsize=3.55in \vtop{ \noindent {\bf Problem statement} This picture
of an ``oval'' racetrack has been drawn with some care. Dimensions are
in miles. Two portions of the track are straight and two portions are
circular arcs, as shown. Imagine that you drive a car on the track for
20 miles, beginning at the point $A$ in the direction indicated
(counterclockwise). Sketch a graph of the curvature, $\kappa$, as a
function of the distance driven. (You} 

\noindent may assume that the curvature is a continuous function of
distance -- structures such as railroads are actually built to
interpolate curvature continuously.) Briefly and clearly explain your
graph. }

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