cq_1_011

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phy 121

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 change in x = x2 - x1 so x= 20cm - 10cm = 10cm with respect to time you will have 2 cm/sec.

 

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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):

 10 cm/sec

The average rate of change formula is a = v2 - v1/ t2 - t1, in this case a= 40 cm/sec - 10 cm/sec / 5 sec - 2 sec = 10cm/sec

 

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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):

 50 cm

d = vt

d = 5 cm/sec * 10sec

 

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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):

 In order to remember this definition I will make a note card with the definition on it and commit it to memory. 

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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):

In order to use this definition one most have certain data that can be used in this definition to come up with an answer if one has the change in a they divide it by the change in b and come up with there answer. After appling this definition continuously I will commit it to memory.

 

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&#Good responses. Let me know if you have questions. &#

You may add any further comments, questions, etc. below:

Your answer (start in the next line):

I had difficulty calculating the exact times for each of these intervals, but I believe my results are pretty accurate. I do not yet have my lab kit, I will obtain it next week. So I used a water bottle instead.

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@& Good work.

Note that if the cross-sectional area of the bottle is uniform, the depth would indeed be expected to decrease at a decreasing rate, as you predicted. *@