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: ****************
20cm – 10cm=10 cm
9sec – 4sec= 5 sec
10cm/5sec=2cm / sec
• 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: ****************
40 cm/sec – 10 cm/sec= 30cm/sec
(distance/time elapsed)
this would be consistent with the definition of average velocity, but not average rate of change of velocity with respect to clock time
30cm/3sec=10cm/sec
you have a unit error here; there is no relevant quantity which is equal to 30 cm
• 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: ****************
5cm/sec X 10 sec =50 cm
• 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: ****************
I will try to memorize and apply it to problems.
• 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: ****************
The definition is the average rate of change of A with respect to B=(change in A)/(change in B). It can be applied in different ways depending on the question. Just like the above questions, you may have to subtract in order to get the change in A and B. Sometimes you may have to multiply in order to get the rate of change. If you have the definition memorized you can read the question and apply which ever equation that will give the correct result.
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25 min
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&#At least part of your solution does not agree with the solution and comments given at the link below. You should view the solution at that link and self-critique as indicated there.
Solution
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