Phy 231
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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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):
First I have to find the differences in the two values with the same units. 20-10 = 10 cm and 9-4 = 5 seconds. Then, I take 10/5 to find the change in A to the change in B and get 2 cm/sec as the final result.
Good, but these quantities have units. The units should be represented both in your calculations and in your results.
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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 change in time is 40-10 which is 30 cm/sec and from there to find out the average rate of change with respect to the clock time, I just divide 30/3 = 10 so 10 cm is the average rate of change.
Right procedure, but you aren't being careful enough about the units. 10 cm could be a position, but it's not a rate of change of position.
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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):
If the clock time changes by 10 seconds and I want to see how much the position changed as it changed 5 cm/second, I would just multiply the two 10*5 = 50 centimeters total.
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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 write it on a notecard and memorize it. I chose to do it this way because I tend to remember things very well when I use notecards as a method of studying.
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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):
The average rate of change of A with respect to B is change in A / change in B. This will be easily remembered also because in the definition A comes before B which leads to me dividing A into B.
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25 mins
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You're applying the definition correctly, but you're not using units correctly. Check the link below:
&#Please compare your solutions with the expanded discussion at the link
Solution
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