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:
1.
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: ->->->->->->->->->->->-> :
to figure this problem I would place this in a ratio: 4/10 and 9/20 then I would solve the problem. A=4/10 and B=9/20. The idea being that the change in the speed of the ball would be shown. In A/B you would get a rate of change of 8/9 of a second.
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: ->->->->->->->->->->->-> :
I am thinking you would first need to get the initial change from 10 to 40 giving you 30 cm. and then you need to divide by 3 which is your B. Giving you the rate of change of 10.
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: ->->->->->->->->->->->-> :
you apply the equation A/B where 5 is A and 10 is B: therefore giving you the answer of .5cm/second.
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: ->->->->->->->->->->->-> :
If you are given a distance and time of a moving object on an interval you can find the average rate of change by dividing the change in A by the change in B. I am not extremely clear on how you find the A and B though???
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: ->->->->->->->->->->->-> :
You find the change in the A and the change in B and then divide???
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30 minutes
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You have a good approach, but the rate of change is a ratio of differences; you're using the ratio concept one step early.
&#Please compare your solutions with the expanded discussion at the link
Solution
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