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Phy121
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):
20cm - 10cm=10cm change in position
9sec-4sec=5sec change in clock time
10cm/5sec=2cm/sec average change in position with respect to clock time
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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):
40cm/sec-10cm/sec=30cm/sec change in velocity
30cm/sec/3sec=10cm/sec average rate of change in velocity
@& (cm/s) / s = cm/s^2, not cm/s*@
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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):
5cm/sec*10sec=50cm change in position
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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):
The average rate of change is the change of one quantity in respect to the other.
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*#&!
Good responses. See my notes and let me know if you have questions.