Phy 231
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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    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:  
t = 9 s
          What is the velocity at the midpoint of this interval?  
answer/question/discussion: ->->->->->->->->->->->->  scussion:
(40 cm/s + 13 cm/s)/2 = 26.5 cm/s
there is no velocity equal to 13 cm/s
          How far do you think the object travels during this interval?  
answer/question/discussion: ->->->->->->->->->->->->  scussion:
26.5 cm/s * (13 - 5 s) = 212 cm
          By how much does the clock time change during this interval?  
answer/question/discussion: ->->->->->->->->->->->->  scussion:
13 - 5 = 8 sec elapsed
          By how much does velocity change during this interval?  
answer/question/discussion: ->->->->->->->->->->->->  scussion:
 40 cm/s - 13 cm/s = 27 cm/s
          What is the average rate of change of velocity with respect to clock time on this interval? 
answer/question/discussion: ->->->->->->->->->->->->  scussion:
  40 cm/s - 13 cm/s = 27 cm/s / 8 s = 3.4 cm/s/s
          What is the rise of the graph between these points?  
answer/question/discussion: ->->->->->->->->->->->->  scussion:
    27 cm/s
          What is the run of the graph between these points?  
answer/question/discussion: ->->->->->->->->->->->->  scussion:
    8 s
          What is the slope of the graph between these points?  
answer/question/discussion: ->->->->->->->->->->->->  scussion:
    27 / 8 = 3.4 
          What does the slope of the graph tell you about the motion of the object during this interval?  
answer/question/discussion: ->->->->->->->->->->->->  scussion:
   That this object has acceleration of 3.4 cm/s/s
          What is the average rate of change of the object's velocity with respect to clock time during this interval? 
answer/question/discussion: ->->->->->->->->->->->->  scussion:
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20 minutes
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You got mixed up on one of your velocities, but all your reasoning is fine and had that first velocity been 13 m/s your results would have been correct.