PHY 121
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: ->->->->->->->->->->->-> :
13 – 5 = 8 seconds which would be the midpoint clock time.
• What is the velocity at the midpoint of this interval?
answer/question/discussion: ->->->->->->->->->->->-> :
40 – 16 = 24 cm/s would be the midpoint.
this is the change in velocity, not the midpoint velocity
• How far do you think the object travels during this interval?
answer/question/discussion: ->->->->->->->->->->->-> :
24 cm/s divided by 8 seconds would be 3 cm in one second.
• By how much does the clock time change during this interval?
answer/question/discussion: ->->->->->->->->->->->-> :
It changes by 8 seconds.
• By how much does velocity change during this interval?
answer/question/discussion: ->->->->->->->->->->->-> :
24 cm/s
• What is the average rate of change of velocity with respect to clock time on this interval?
answer/question/discussion: ->->->->->->->->->->->-> :
3 cm/ s
• What is the rise of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> :
40 cm/s – 16 cm/s = 24 cm/s
• What is the run of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> :
13 s – 5 s = 8 s
• What is the slope of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> :
Slope would be 24 cm/s / 8 s = 3 cm/s/s
• What does the slope of the graph tell you about the motion of the object during this interval?
answer/question/discussion: ->->->->->->->->->->->-> :
That it is increasing at a constant rate.
• What is the average rate of change of the object's velocity with respect to clock time during this interval?
answer/question/discussion: ->->->->->->->->->->->-> :
3 cm/s/s
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20 minutes
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You're using a lot of the right definitions and quantities, but not always the right ones at the right time. You're on the right track.
&#Please compare your solutions with the expanded discussion at the link
Solution
Self-critique your solutions, if this is necessary, according to the usual criteria. Insert any revisions, questions, etc. into a copy of this posted document. Mark any insertions with &&&& so they can be easily identified. &#