cq_1_011

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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.

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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 = 10cm, Quantity B = 5 seconds / The ball is traveling at an average rate of 10cm/5sec or 2cm per second. You find the difference between the two measurements in distance traveled and time and cross multiply to find how many cm 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):

Quantity A = 30cm/sec, Quantity B = 3sec / The average rate of change for the balls velocity with respect to the clock is 10cm/sec^2. I got this be dividing 30cm/sec by 3sec. 

 

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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 * 10sec = 50cm 

 

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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 ensure that I remember this definition by using it on a regular basis by doing all the homework assignments.  

 

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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):

The procedure for finding rate of change of velocity of an object in motion is to identify all quantities in the question and which one changes in respect to the other. Then you can cross multiply or reduce to find the rate down to per second or another common number.  

 

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20min

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&#Very good work. Let me know if you have questions. &#