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: ->->->->->->->->->->->-> : (10cm-20cm)/(4s-9s) = 2cm/s cm quantity A; s- quantity B; average rate= 2cm/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: ->->->->->->->->->->->-> : Quantity A/Quantity B = (40cm-10cm)/3s = 10cm/s which is the average rate of change per second in the 3 second interval.
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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: ->->->->->->->->->->->-> : Average rate of change = (Change of A)/(Change of B). 5cm/s = (x)/(10s). X= change of A; 10s = change of B. 5cm/s x 10s = X. X = 50 cm. Position changed by 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: ->->->->->->->->->->->-> : Average rate of change of A with respect to B = (Change of A)/(Change of B). I wrote the definition in my notebook with a box around it so I wont forget the definition!
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: ->->->->->->->->->->->-> : I firstly write down the definition correctly. Then, I look through the problem and find the different parts of the definition. I plug in the different parts and solve for the missing part. I will remember this procedure as long as I remember the definition.
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25 minutes
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&#Please compare your solutions with the expanded discussion at the link
Solution
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