http://vhcc2.vhcc.edu/dsmith/geninfo/labrynth_created_fall_05/levl1_23\levl2_06\file3_088.htm
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Phy 241
Your 'cq_1_02.2' 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:
A graph is constructed representing velocity vs. clock time for the interval between clock times t = 5 seconds and t = 13 seconds. The graph consists of a straight line from the point (5 sec, 16 cm/s) to the point (13 sec, 40 cm/s).
What is the clock time at the midpoint of this interval?
answer/question/discussion: ->->->->->->->->->->->-> scussion (start in the next line):
5 sec + 13 sec = 18 sec / 2 = 9 sec
9 seconds
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What is the velocity at the midpoint of this interval?
answer/question/discussion: ->->->->->->->->->->->-> scussion (start in the next line):
16 cm/s + 40 cm/sec = 56 cm/sec / 2 = 28 cm/sec
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How far do you think the object travels during this interval?
answer/question/discussion: ->->->->->->->->->->->-> scussion (start in the next line):
From 5 seconds (16 cm/sec) to 13 seconds (40 cm/sec) we would take average velocity. 40 cm/sec + 16 cm/sec = 56 cm/ sec / 2 = 28 cm/sec.
28 cm/ sec * 8 seconds = 224 cm
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By how much does the clock time change during this interval?
answer/question/discussion: ->->->->->->->->->->->-> scussion (start in the next line):
13 sec - 5 sec = 8 seconds.
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By how much does velocity change during this interval?
answer/question/discussion: ->->->->->->->->->->->-> scussion (start in the next line):
40 cm/sec - 16 cm/sec = 24 cm/sec is delta velocity
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What is the average rate of change of velocity with respect to clock time on this interval?
answer/question/discussion: ->->->->->->->->->->->-> scussion (start in the next line):
24 cm/s / 8sec = 3cm/s / s
3 cm/sec^2
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What is the rise of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> scussion (start in the next line):
Rise / run is how coordinate points are written. 16 cm/sec rises up to 40 cm/sec which is 24 cm/sec change
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What is the run of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> scussion (start in the next line):
The time runs from 5 seconds to 13 seconds, an 8 sec change.
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What is the slope of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> scussion (start in the next line):
24 cm/s / 8 sec = 3 cm/sec^2
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What does the slope of the graph tell you about the motion of the object during this interval?
answer/question/discussion: ->->->->->->->->->->->-> scussion (start in the next line):
The calculations are the same as those of the average rate of change of velocity with respect to clock time.
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What is the average rate of change of the object's velocity with respect to clock time during this interval?
answer/question/discussion: ->->->->->->->->->->->-> scussion (start in the next line):
3 cm/sec^2
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Very good responses. Let me know if you have questions.