Quiz1Soln

# Quiz1Soln - ECM 005 Quiz 1 Solutions D.M Lavenson 1 Problem...

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ECM 005 Quiz 1 Solutions D.M. Lavenson January 25, 2011 1 Problem 1 1.1 Part A Table reftable:data shows the data given for this quiz. Table 1: Table of data for stream draining problem Time ( t , days) Volume collected ( V , m 3 ) 0 0 2 10,000 4 40,000 6 90,000 8 160,000 10 250,000 First, we need to graph V vs t on linear scale. This should always be your first step when given data; it allows you to see the qualitative trend of the variable V as a function of time. Now that we have done this we can use figure 1 for parts A and B. In order to estimate the volume of water that had flowed into the lake after 5 days, we graphed the data points and drew a best fit line. Recall that linear interpolation (or estimating the value at t=5 based on t=4 and t=6) is incorrect. This is because linear interpolation assumes that you have a linear relationship between the two data points. It is obvious 1

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0 2 4 6 8 10 0 0.5 1 1.5 2 2.5 3 x 10 5 Volume, (m 3 ) Time, (days) Data Best-fit Tangent line at t=5 Figure 1: Graph of V vs. t on linear scale. Inclues a mark at t=5 days for part A,
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Quiz1Soln - ECM 005 Quiz 1 Solutions D.M Lavenson 1 Problem...

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