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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.
** CQ_1_01.1_labelMessages **
Samantha Rogers
PHY 201
Seed 1.1
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):
10cm/5sec = 2cm/sec = average rate of change of it's position. The change of 10cm to 20cm is 10cm. The change of 4sec to 9sec is 5 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):
Change of 30cm/sec and change of 3 seconds. 30cm/3sec=10cm/sec=average rate of change of velocity. The change of velocity is 30cm/sec and the change of time is 3 seconds.
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The calculation is 30 cm/sec divided by 3 sec.
10 cm/sec would be a velocity. How would a velocity of 10 cm/sec fit into this question? Does this quantity match the quantity you were to calculate?
How does this change the units and the meaning of your answer?
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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):
The position changes by 50 cm. The position is changing at a rate of 5 cm per second. If the time changes by 10 seconds that means that the position has changed 5cm for every second of the 10 seconds. 10*5=50.
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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 will repeat the definition over and over until I have it word for word. I will also write the definition down multiple times to ensure that I have it memorized word for word.
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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):
Change in A is the change in position.
Change in B is the change in time.
Take the change in A and divide it by the Change in B to get the rate.
Use this formula to find out answers.
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