Phy 121
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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 sec
What is the velocity at the midpoint of this interval?
answer/question/discussion: 28 cm/sec
How far do you think the object travels during this interval?
answer/question/discussion:change in s=9sec*28cm/sec to =252 cm
you appear to have calculated midpoint clock time * average velocity, which does not generally result in the displacement.
By how much does the clock time change during this interval?
answer/question/discussion: 4 sec
this would be half the change in clock time
By how much does velocity change during this interval?
answer/question/discussion: 12 cm/sec
this would be half the change in velocity
What is the average rate of change of velocity with respect to clock time on this interval?
answer/question/discussion: 252 cm/4 sec=63 cm/sec
you've divided your result for displacement by your result for change in clock time; displacement / change in clock time is not the average rate of change of velocity with respect to clock time
What is the rise of the graph between these points?
answer/question/discussion:24
What is the run of the graph between these points?
answer/question/discussion: 8
What is the slope of the graph between these points?
answer/question/discussion:3
What does the slope of the graph tell you about the motion of the object during this interval?
answer/question/discussion: since the slope is steep, then the motion is picking up speed in a linear fashion
What is the average rate of change of the object's velocity with respect to clock time during this interval?
answer/question/discussion: 3.5 cm/sec
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30 min
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You need to explain your reasoning more fully. In several places you have the right ideas but incorrect details. I need to see the details of your reasoning so I can help you address the specifics.
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