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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.
** 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):
This question is asking me to find the average rate of change of position with respect to clock time. So here quantify A would be position and quantity B would be clock time. To answer the question I could plug in the difference of each quantity into the equation in the right place. So first we need to find the difference:
Quantity A (Position) = 20 cm - 10 cm = 10 cm
Quantity B (Clock Time) = 9 sec - 4 sec = 5 seconds
Then we need to plug this into the equation:
Average rate of change of position with respect to clock time = 10 cm / 5 seconds = 2 cm/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):
This question is asking me to find the average rate of change of velocity with respect to clock time. So here quantity A would be velocity of the ball and quantity b would be clock time. To answer the question I could plug in the difference of the velocity and the clock time into the equation in the right place. So first we need to find the difference for velocity:
Quantity A (Velocity) = 40 cm/sec - 10 cm/sec = 30 cm/sec
Quantity B = 3 seconds
Then we need to plug this into the equation:
Average rate of change of velocity of the ball with respect to clock time = 30 cm/sec / 3 seconds = 10 cm/seconds
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Right calculation, but your units are incorrect.
30 cm/s / (3 s) = 30 cm/s^2, not 30 cm/s.
30 cm / (3 s) would be 30 cm/s, but that's not the calculation required here.
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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):
The average rate at which position changes with respect to clock time is 5 cm/sec. So if the clock changes 10 seconds, then we can find out how much the position changes by taking how much the position changes per seconds and multiplying that by the number of seconds that the position changed. This would be done like so: 5 cm * 10 seconds = 50 cm/10 seconds. This means that in 10 seconds the position changed 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 this definition by writing it down on a sheet where I will keep all important definitions. I will read it over anytime I have a question about this definition if I do not remember the definition word for word. I will also read over it and memorize it before the test.
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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 apply the definition I used the definition in each problem that I completed. The procedure for doing so started out by identifying quantity A and quantity B. Then I had to calculate what each quantity was unless it was given to me. Then I plugged those quantities into the definition and solve for the answer. I will remember to apply this procedure by writing it down and practice using this procedure. I will go over the procedure again before assignments and tests where I will use this procedure so I will remember how to do it.
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&#This looks good. See my notes. Let me know if you have any questions. &#