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: The Quantity A would be the change in position of the ball, which would be 20-10=10 cm. The quantity B is the change in clock time, which would be 9-4=5 seconds. The average rate would therefore be 10/5=2 cm/s.
• 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 case, the velocity would be the quantity A and the change in clock time would be quantity B. The Average rate of change would be (40cm/s-10cm/s)/3s=10cm.
right reasoning but your units are incorrect
• 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: (5cm/s)*(10s)= 50cm
• 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: It is fairly easy to remember, in that in the definition, A and B are used in order, with change in A over change in B; also, it is the average rate of change of A with respect to 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: First I find the quantities that would be represented by A and B by using the wording of the definition, and applying it to the problem. For example, I found that in the first problem, A was position, and B was clock time, because in the problem it said that I needed to find the average rate of change in position with respect to the clock time in that interval. This will be easy to remember, because it is always change in A with respect to B. I then find the changes in each A and B, before dividing Change in A/Change in B.
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30-40 minutes
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&#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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