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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.
** CQ_1_01.1_labelMessages **
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):
10cm (a)/5sec(b)=2cm per 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):
30cm per sec(a)/3sec(b)=10cm/sec
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Good, but you are dividing cm / sec by sec, so the result is not in cm / sec but rather (cm / sec) / sec, or cm / 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/10(b)=5cm/s
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Good. You are following the definition.
If you multiply both sides by 10 seconds, you get
a quantity = 5 cm / s * 10 s = 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):
Having it written down on a piece of paper and saved on a file on my computer where I can reference it. Also by just trying to memorize it.
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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):
To find the rate of change of something in respect to a change in something else you divide the values of change
So if I start out with 4 apples at 8am and go down to 1 apple at 3pm because I got hungry and I wanted to figure out the rate at which I was eating the apples over a course of time I would take the change in the apples eaten (3) and divide it by the change in time or time passed (7 hours) to get .4apples/hour. (if you assume its because I have just been constantly munching.
So basically how Ill remember to apply it is by looking for where the changes are and making sure Im getting the values on the right sides of the division. Double check what is being compared to what and determining what needs to be found.
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Very good.
Note that you are calculating an average rate of change. So you don't have to be munching continuously to say that the average rate of change is .4 apples / hour.
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&#Good responses. See my notes and let me know if you have questions. &#