#$&* course mth 163
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Given Solution: ** Continue to the next question ** &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Self-critique (if necessary): Self-critique rating #$&* ********************************************* Question: `qQuery 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. YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY Your solution: The depth is changing at a slower and slower rate. As the time goes on, the depth continues to decrease. Confidence rating #$&* 3
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Given Solution: ** If you time the water at equal time intervals you should find that the depth changes by less and less with each new interval. If you timed the depth at equal intervals of depth you should find that each interval takes longer than the one before it. Either way you would conclude that water flows from the hole at a decreasing rate. The reason is that as the water depth decreases the pressure forcing the water out of the hole decreases. ** STUDENT COMMENT: I don’t even know how to critique myself on this answer. I did not get it right and did not know how to express how to support my answer (which was wrong). After reading the given solution, I can see what you are looking for in respect to supporting my solutions. I feel that I need to do more to learn how to chart this correctly. This is a topic I will discuss with my tutor. INSTRUCTOR RESPONSE You have stated that you understand the given solution, and given the pattern of the work you have submitted I believe it is likely that you do. In cases where you're not sure you completely understand, it's preferable that you make more specific statements that demonstrate your understanding. I can evaluate and give you feedback on such statements. The key statements in this document are the following: If you timed the depth at equal intervals of depth you should find that each interval takes longer than the one before it. Either way you would conclude that water flows from the hole at a decreasing rate. I don't know whether it's necessary on this problem, but always remember that you are welcome to insert additional statements into a copy of the posted document, mark them with &&&& and submit for further feedback. &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Self-critique (if necessary): ok Self-critique rating #$&*3 ********************************************* Question: `qWhat 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? YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY Your solution: Starts on the positive y axis and decreases at a decreasing rate. Confidence rating #$&* 3
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Given Solution: ** The graph will start on the positive y axis and will decrease at a decreasing rate. The shape of the graph is the left-hand side of a parabola that opens upward. The right-hand half of the parabola does not correspond to the flow. The left-hand half of the parabola, which corresponds to the flow, gets less and less steep with increasing clock time, matching the fact that that the rate of decrease is slowing. At the instant the containers empties, the water will be at the level of the hole. If depth is measured relative to the hole, then at the instant depth will reach zero. The corresponding graph point will lie on the t axis and will correspond to the vertex of the parabola. ** STUDENT ANSWER and self-critique: (self-critique:) Self-critique rating #$&*