Phy 201
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: For this question you simply subtract to get the rate of change and then divide. So 20cm-10cm=10cm/ 9sec-4sec=5sec. so 10cm/5sec=2cm/sec
• 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: In this question you need to get the change in cm per second of 40cm/sec-10cm/sec and divide by the 3 seconds. So 40-10=-30/3=10cm/sec
you have an error in your units
• 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: in this problem you need to use multiplication because if the time is changing at 5cm/sec over a period of 10 seconds. It would be 10*5=50 cm/sec position 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.
answer/question/discussion: I will remember this definition because it is Average Rate of Change = the change in A/ the change in B
• 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: To apply this formula you just take the difference of a and divide it by the difference in b. sometimes you may need to mix up the formula to arrive at an answer. If you are already given the average rate of change you may need to use multiplication instead of division. It just depends on the question.
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20 min
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Good work--almost everything is correct and your reasoning is well explained throughout. There is an error in units on one of your steps.
&#Your solution is mostly correct, and I believe you will understand the solution after reading the document in the link below. You will be directed to submit a revision; however unless you have questions or comments, the revision is not necessary. Just be sure you understand all the details of the given solution. &#
&#At least part of your solution does not agree with the solution and comments given at the link below. You should view the solution at that link and self-critique as indicated there.
Solution
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