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Phy 231
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):
To find the average rate of change of position with respect to clock time, the equation would be: the change in position / the change in time = average rate of change
Take the given quantities to solve the problem:
(20cm - 10cm)/ (9sec - 4sec) =
10cm / 5 sec = 2 cm/sec
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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):
In order to find the average rate of change of the velocity, you divide the change in veloity by the change in clock time.
(40cm/s - 10cm/s) / (3 sec) =
30 cm/s / 3 sec = 10cm/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):
You are given the average rate of change of the position, and the clock time, and asked to find the change in position. Using the formula: average rate = change in A / change in B, you can multiple the change in B to both sides in order to get: change in A = ave rate * change in B. The change in A is the change in position, and the change in B is the change in clock time.
Next, you plug in the given quanities:
change in position = 5 cm/s * 10 sec = 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):
Through practice, using this definition will become second nature. The average rate of change is defined by the change in A divided by the 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):
As mentioned abover, the average rate of change is the change in quantity A divided by the change in quantity B. It is important to define A and B and being able to distinguish which quanity is being taken with respect to the other one.
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30 min