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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.
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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):
Quantity A = The ball position
Quantity B = The time
Average rate = 10 cm / 5 s
= 2 cm/s
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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):
Quantity A = Velocity
Quantity B = Time
Avg rate of change of velocity (acceleration) = (40 cm/s - 10 cm/s)/ 3 s
= 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):
Quantity A = Position
Quantity B = Time
Avg rate 5 cm/s = Position Change / Time Change 10s
Position Change = 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):
I already have a strong grasp of this concept especially with the avg velocity and avg acceleration, etc. I am unsure exactly what you are asking in this question but I believe the point you are trying to get across is defining what we are currently calling A and B and showing the change of one compared to (divided by) the other.
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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):
Define A
Define B
Setup the equation for the Avg Rate = Delta A / Delta B
Solve for the missing part of the equation.
I understand this because I have achieved the understanding you are looking for through practice on my own and in the key concept rates homework, and now here. Also, the book examples of identifying, setting up, and then solving a problem goes along with this idea.
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&#Very good responses. Let me know if you have questions. &#