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?
The average rate of change in this position would be to say that the change in A (distance) is 10 cm / change in B (time) is 5 seconds so that would result in being there is a 2 cm change in each second.
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?
I think that the average rate of change here would be .25 cm with respect to the clock time.
You did a good job of applying the definition of rate of change to the preceding question. You need to do the same on this question. You don't show how you apply the definition to obtain your result, and the result is not correct, nor does it have to correct units.
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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?
The position should change to 50 cm by the clock.
Your answer is correct, but you don't show how you obtained it, or how it is related to the definition of rate of change.
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.
To apply a definition, I would have to see and use simple examples to remember the definition and not forget it.
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.
I could not think of what to write here. I dont exactly understand the question here.
You did this correctly in answering the first question.
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I spent around 30 mins on the exercise.
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You had a good start on the first question, we correctly applied the rate of change definition and obtained the correct result. You need to follow the same pattern of reasoning on the second question then try to apply the same definition to the third question, on which you obtained the correct answer but did not explain how you got it.
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