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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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):
change in A (20cm-10cm)=10cm
change in B=(9sec-4sec)=5secs
(10cm)/(5sec)=2cm/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):
Average of A= 40cm/sec-10cm/sec=30cm/sec
Average of B=3seconds
That is 'change in A' and 'change in B', which are used to find the average rate of change of A with respect to B.
10cm/sec^2
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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):
A=5cm/sec B=10sec
A/B=.5cm/sec^2
This answer is incorrect. Be sure you compare with the link provided at the end of this document.
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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):
Change in A over Change in B
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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):
(2A-1A)/(2B-1B)
The numbers in front of A and B are subscripts.
Good. Notation is fine, since you've defined it, but subscripts are more often indicated with notation A_1, A_2, etc.. When the subscripting is obvious this can be abbreviated to A1, A2, etc.. A number in front of a variable traditionally indicates multiplication. Strictly speaking a number after the variable could also indicate multiplication (i.e., A2 when strictly interpreted means A * 2) but in simplified algebraic notation the numerical coefficient precedes variables, so the A1, A2, B1, B2 notation is usually clear.
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20 mins
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&#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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