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: 9 seconds
• What is the velocity at the midpoint of this interval?
answer/question/discussion: 3.11 cm/s
All velocities are between 16 cm/s and 40 cm/s; this can't be midpoint velocity.
• How far do you think the object travels during this interval?
answer/question/discussion: 24 cm
• By how much does the clock time change during this interval?
answer/question/discussion: 8 seconds
• By how much does velocity change during this interval?
answer/question/discussion: 3.11 cm/sec
• What is the average rate of change of velocity with respect to clock time on this interval?
answer/question/discussion: 0.39cm/ sec^2
correct reasoning and units; your velocity change wasn't right, though
• What is the rise of the graph between these points?
answer/question/discussion: 8 seconds
that would be the run, not the rise
• What is the run of the graph between these points?
answer/question/discussion: 24 cm
• What is the slope of the graph between these points?
answer/question/discussion: 0.33
you need units; and you've reversed rise and run
• 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 in speed
• What is the average rate of change of the object's velocity with respect to clock time during this interval?
answer/question/discussion: 0.39 cm/ sec^2
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About 15 min
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Good reasoning on most questions, but there are some results that require correction.
At least part of your solution does not agree with the solution and comments given at the link below. You should view the solution at that link and self-critique as indicated there.
Solution
This link also expands on these topics and alerts you to many of the common errors made by students in the first part of this course.