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):
Change in A = 20 cm – 10 cm = 10 cm
Change in B = 9 sec – 4 sec =5 seconds
Average rate = 10 cm / 5 seconds = 2 cm / 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):
Change in A = 40 cm/sec – 10 cm/sec = 30 cm/sec
Change in B = 3 sec
Average rate = 30 cm/sec / 3 sec = 10 cm
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):
Average rate = Change in A / Change in B
5 cm / sec = X / 10 sec= 50 cm
Position change = 50 cm
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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 will remember the definition word for word by pure memorization. I will remember that the average rate always equals the change in A over the 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):
I applied it by remembering the definition first, then reading the instructions and plugging in the appropriate numbers into the definition. I will remember to apply this procedure because it is basic problem solving technique.
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30 minutes
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This is the second time I am submitting this, the first time I forgot to fill in the necessary information at the beginning of the form. Sorry!
Try to avoid that, though it inevitably happens very occasionally. As long as it doesn't happen often, it's easy enough to deal with that on this end.
&#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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