course mth 163
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22:11:01 Query Introduction to General Themes; Examples (no summary needed) What were some of the things in this introduction that you found interesting or surprising?
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RESPONSE --> That I had problems with a graph question. Most of the information was refresher from previous math classes. confidence assessment: 2
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22:20:14 Query Introductory Flow Experiment (no summary needed) Is the depth changing at a regular rate, at a faster and faster rate, or at a slower and slower rate? Support your conclusion.
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RESPONSE --> Based on the the video clip07 The depth began changing at a faster speed by then began to slow down. The graph that was drawn shows a steep curve downward and it begins to level out closer to the bottom. confidence assessment: 1
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22:21:17 ** If you time the water at equal time intervals you should find that the depth changes by less and less with each new interval. If you timed the depth at equal intervals of depth you should find that each interval takes longer than the one before it. } Either way you would conclude that water flows from the hole at a decreasing rate. The reason is that as the water depth decreases the pressure forcing the water out of the hole decreases. **
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RESPONSE --> That is basically what I said by the speed is steeper on the graph at the top. It begins to decrease toward the bottom and level out. self critique assessment: 1
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22:24:22 What does the graph of depth vs. clock time look like? Is it increasing or decreasing? Does the rate of increase or decrease speed up or slow down? Does your graph intercept the y axis? Does it intercept the x axis? How would you describe its overall shape?
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RESPONSE --> The graph is decreasing due to the amount of water leaving the tube. At first there is an increase in speed, but then it begins to slow down. Yes, but only where the water level begins when the time is at 0 seconds. I don't believe it will intercept the x axis. The shape is like an enlongated parabola. confidence assessment: 1
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22:25:37 ** The graph will start on the positive y axis and will decrease at a decreasing rate. The shape of the graph is the left-hand side of a parabola that opens upward. The right-hand half of the parabola does not correspond to the flow. The lef-hand half of the parabola, which corresponds to the flow, gets less and less steep with increasing clock time, matching the fact that that the rate of decrease is slowing. At the instant the containers empties, the water will be at the level of the hole. If depth is measured relative to the hole, then at the instant depth will reach zero. The corresponding graph point will lie on the t axis and will correspond to the vertex of the parabola. **
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RESPONSE --> Ok, I was wrong that it would not touch the x axis. But if the water completely empties, it does make sense that it would touch the x axis. self critique assessment: 1
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