PHY 201
Your 'cq_1_01.1' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
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The problem:
Here is the definition of rate of change of one quantity with respect to another:
The average rate of change of A with respect to B on an interval is
• average rate of change of A with respect to B = (change in A) / (change in B)
Apply the above definition of average rate of change of A with respect to B to each of the following. Be sure to identify the quantity A, the quantity B and the requested average rate.
• If the position of a ball rolling along a track changes from 10 cm to 20 cm while the clock time changes from 4 seconds to 9 seconds, what is the average rate of change of its position with respect to clock time during this interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
The average rate of change of its position is 10 cm, which is A, with the respect to the clock time being 5 seconds, which is B. So, (change in A) / (change in B) = average rate of change = 10 cm / 5 seconds = 2 cm’s per second.
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• If the velocity of a ball rolling along a track changes from 10 cm / second to 40 cm / second during an interval during which the clock time changes by 3 seconds, then what is the average rate of change of its velocity with respect to clock time during this interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
The velocity has a change of 30 cm / second, so (change in A) / (change in B) = average rate of its velocity, or 30 cm per second / 3 seconds = 10 cm’s per second. So, the average rate of change is 10 cm’s per second.
Your units aren't completely correct here. Be sure to check the discussion in the link given at the end of this document.
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• If the average rate at which position changes with respect to clock time is 5 cm / second, and if the clock time changes by 10 seconds, by how much does the position change?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
This question gives you the average rate and the clock time, so you find how much the position changed. So, first you need to turn the equation around to accommodate for this situation: “change in position = average rate with respect to clock time * change in clock time”, or 5 cm / second * 10 seconds = 50 cm’s. So the object moved 50 cm’s.
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• You will be expected hereafter to know and apply, in a variety of contexts, the definition given in this question. You need to know this definition word for word. If you try to apply the definition without using all the words it is going to cost you time and it will very likely diminish your performance. Briefly explain how you will ensure that you remember this definition.
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
I am going to copy this definition into a notebook and start a definition book that I will start studying for future reference. But, once you think about the situation it is about self-explanatory.
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• You are asked in this exercise to apply the definition, and given a general procedure for doing so. Briefly outline the procedure for applying this definition, and briefly explain how you will remember to apply this procedure.
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
Any time you are asking or given an average rate of change you always divide the change in A and the change in B to the answer, when you are applying one quantity with respect to another.
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30 minutes
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&#Good responses. Let me know if you have questions. &#
&#See any notes I might have inserted into your document. If there are no notes, this does not mean that your solution is completely correct.
Then please compare your solutions with the expanded discussion at the link
Solution
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