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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):
change in A = 4
change in B = 9
4/9 = 0.4sec/ 10 cm
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You are asked to find the average rate of change of position with respect to clock time.
You are told that 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)
The A quantity has a name, and the B quantity has a name.
What are the names of those quantities, within the context of the present question?
What is the change in the A quantity?
What is the change in the B quantity?
What therefore is the requested average rate of change?
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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):
(10cm/sec) / (40cm/sec) = 0.25cm/sec is the average rate of change of its velocity
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You are asked to find the average rate of change of velocity with respect to clock time.
You are told that 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)
The A quantity has a name, and the B quantity has a name.
What are the names of those quantities, within the context of the present question?
What is the change in the A quantity?
What is the change in the B quantity?
What therefore is the requested average rate of change?
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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):
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If the clock changes 5 cm a second and the clock time changes by 10 seconds, then you would multiply the 2 to get the total amount of position change.
5cm/sec * 10 sec = 50cm/ sec is the total amount of 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: ->->->->->->->->->->->-> (start in the next line):
I will write this definition down with all of the rest of my notes and highlight it so I will have it to look at and study always. This way the more I look at it, the easier it will be 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):
You are first to find what A is and find what B is in your problem. You then divide A by B to find your final answer. If the problem asks for rate of change of 2 quantities you simply use this equation. I will have this in my notes and learn when to use this as well as memorize it.
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You never divide A by B.
You divide the change in A by the change in B.
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