snow

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
Question

A snowplow begins to plow a road at 6 am, when snow is on the ground at a certain depth and continuing to fall at a constant rate. Assume the speed of the snowplow is inversely proportional to the depth of snow. If the snowplow covers twice as much distance in the first hour as the second, when did the snow begin to fall? Recall that displacement is given by the definite integral of speed.

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