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w2e - Douglass Houghton Workshop Section 2 Tue Worksheet...

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Douglass Houghton Workshop, Section 2, Tue 9/20/11 Worksheet Emphatic 1. Examine the YouTube video of the double Ferris wheel: http://www.youtube.com/watch?v=xj6DVY5s8HU Assume that when the wheel starts the big arm is horizontal, and you are seated in a chair which is as far to the right as a chair can get. (a) Use a watch to estimate the periods of the large rotation and the smaller rotation. (b) Estimate the radii of the two rotations, knowing as you do that the seats are designed for humans. (c) Write a formula for your height t seconds after the wheel starts. (d) Do the same for your horizontal position. (e) Draw a two-dimensional picture of your motion, and mark some times on the picture. Then watch the video again and see if it looks right. 2. Taylor is studying the population of Round Gobies, an invasive fish species, in Lake Michigan. Suppose that the population changes according to the rule: P ( n + 1) = 1 . 5 P ( n ) - 200 where P (0) is the population in 2011, P (1) is the popu- lation 1 year later, etc.

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