?Snow began to fall during the morning of February 2 and continued steadily into the
Chapter 16, Problem 8(choose chapter or problem)
Snow began to fall during the morning of February 2 and continued steadily into the afternoon. At noon a snowplow began removing snow from a road at a constant rate. The plow traveled from noon to but only from to . When did the snow begin to fall? [Hints: To get started, let be the time measured in hours after noon; let be the distance traveled by the plow at time ; then the speed of the plow is . Let be the number of hours before noon that it began to snow. Find an expression for the height of the snow at time . Then use the given information that the rate of removal (in ) is constant.]
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