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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.
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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: ->->->->->->->->->->->-> (start in the next line):
Change of A = 20 cm - 10 cm = 10 cm
Change of B = 9 seconds - 4 seconds = 5 seconds
So, average rate of change of A with respect to B = 10 cm / 5 seconds = 2 centimeters per second.
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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):
V1 = 10cm/s T0 = 0s
V2 = 40cm/s T1 = 3s
[I am assuming that the time intervals are 0 seconds and 3 seconds just for the problem I relaly don't know what they are.]
The average change in velocity is how much the velocity changed per unit of time in the interval. If over 3 seconds the velocity changed 30 cm/second the we can conclude that the average rate of velocity is 10 cm/s per second (or 10 cm / s^2)
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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):
V = 5 cm / s
T1 = 0s T2 = 10s
5 cm/s * 10 s = 50 cm. The position changes by 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):
average rate of change of A with respect to B = (change of A) / (change of B)
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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):
Figure out what information represents A and what information represents B. I'm not sure how to explain applying this procedure, just that I will understand and apply it. Anytime a problem suggests a change in information during a measurable interval I will use this definition.
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15 minutes
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&#Very good responses. Let me know if you have questions. &#