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PHY 241
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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Copy the problem below into a text editor or word processor.
This form accepts only text so a text editor such as Notepad is fine.
You might prefer for your own reasons to use a word processor (for example the formatting features might help you organize your answer and explanations), but note that formatting will be lost when you submit your work through the form.
If you use a word processor avoid using special characters or symbols, which would require more of your time to create and will not be represented correctly by the form.
As you will see within the first few assignments, there is an easily-learned keyboard-based shorthand that doesn't look quite as pretty as word-processor symbols, but which gets the job done much more efficiently.
You should enter your answers using the text editor or word processor. You will then copy-and-paste it into the box below, and submit.
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 is distance
Quantity B is time
Change in A is 10 cm
Change in B is 5 secs
The average rate of change is 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):
Quantity A is average rate of change of velocity
Quantity B is clock time
Change in A is 30 cm/sec
Change in B is 3 secs
average rate of change of its velocity with respect to clock time is 10 cm/sec
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@& cm/sec divided by sec does not give you cm/sec; otherwise OK*@
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 is position change
Quantity B is clock time
Change in A is 50 cm
Change in B is 10 secs
Average rate at which position changes with respect to clock time is 5 cm /second
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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):
average rate of change equals change in position with respect to change in time. v=ds/dt. I've taken other engineering classes, i.e. Statics, Dynamics, Mechanics & Materials. I understand in order to find velocity, differentiate position and in order to find acceleration differentiate velocity. y/x and slope is a very similar concept that helps to understand this definition. Also sin/cos=tan helps to find the angle of a vector. Alot of this is all interlinked and the sooner I figure this out the easier it is for me to understand and do well in my classes.
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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):
Break it down:
Quantity A is:
Quantity B is:
Change in A is:
Change in B is:
Average rate of change is:
It is easy to remember because when given a problem, the first thing to do is state the given.
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@& Very good, but see my one note and be very careful about units.*@
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PHY 241
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.
** **
This form accepts only text so a text editor such as Notepad is fine.
You might prefer for your own reasons to use a word processor (for example the formatting features might help you organize your answer and explanations), but note that formatting will be lost when you submit your work through the form.
If you use a word processor avoid using special characters or symbols, which would require more of your time to create and will not be represented correctly by the form.
As you will see within the first few assignments, there is an easily-learned keyboard-based shorthand that doesn't look quite as pretty as word-processor symbols, but which gets the job done much more efficiently.
You should enter your answers using the text editor or word processor. You will then copy-and-paste it into the box below, and submit.
The problem:
Answer the following:
How accurately do you think you can measure the time between two events using the TIMER program?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
thousandth place, .001
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What is the shortest time interval you think you would be able to measure with reasonable accuracy?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
.015
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How does the percent error in timing intervals change as the time between the events gets smaller?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
percent error decreases
@& There is a lower limit to how accurately you can make a measurement. Once you're at this limit, then as the interval gets shorter, you are dividing by a smaller and smaller measurement and the percent error therefore becomes greater.*@
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How accurately are you able to measure the positions of the ball and the pendulum in the initial video?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
position - 1/2, because the pendelum is think and the measuring tape is further away. when the video is paused the inch marks are still defined, but the more precise marks on the tape measure are hard to make out. To be sure I estimated it's position correctly, I would have a 1/2 error either way.
clock times .001 secs, because even when the video is stopped, the clock is still well-defined, unless the stick used to prop up the pendelum and tape at the beginning of the video gets in the way of the viewer and the clock time. At the three instances I stopped the clock time, I was able to make out the time to the nearest .001.
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&#This looks good. See my notes. Let me know if you have any questions. &#