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Phy 121
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):
10/5 = 2cm/sec
first you would take the difference between the first position and the final position of the ball rolling along a track. Then you should take the different of the time. Once you get the different then you take what you got for position and divide it by what you got for time.
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@& Your quantities have units. 10 has units and 5 has units. These units should be included in the calculation.
The result will not have units of cm / sec.*@
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):
30/3 = 10 cm/sec
In this problem first take 40 and subtract 10 to get 30. 30 is how much the difference is between 10 cm/sec and 40 cm/sec. Take the difference 30 cm/sec and divide by 3 because
this is the change in time. That gives you 10 cm/sec
#$&*
@& Your quantities have units. These units should be included in the calculation.
The result will not have units of cm / sec.*@
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):
In this problem we know that clock changes 5 cm for every 1 second. To find out how much the clock changes for 10 seconds we take 5 * 10 and that gives us 50 cm per 10 seconds
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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):
For the rate of change of one quantity with respect to another is that the change in A is divided by the change in B
To help remember this definition I will remember that I will have to find an average rate so i know that i will be dividing two numbers to get that average.
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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):
In all the problems I first had to find the average of A then find the Average of B. Once I had both A and B I was able to find the answer for average rate.
Ill remember that average rate is the change in A divided by the change in B
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*#&!
@& You have the right ideas but need to be more careful with your units, and be sure to include them at every step.
It shouldn't take you more than a few minutes to make the necessary revisions.
&#Please see my notes and, unless my notes indicate that revision is optional, submit a copy of this document with revisions and/or questions, and mark your insertions with &&&& (please mark each insertion at the beginning and at the end).
Be sure to include the entire document, including my notes.
If my notes indicate that revision is optional, use your own judgement as to whether a revision will benefit you. &#
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