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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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: ->->->->->->->->->->->-> (start in the next line):
The clock time at the midpoint of this interval would be 9 sec.
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• What is the velocity at the midpoint of this interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
I would guess that the velocity of the object a this interval would be 3cm/sec.
Given velocities are 16 cm/s and 40 cm/s. Average velocity would be more than 3 cm/s.
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• How far do you think the object travels during this interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
If we are talking about how far the object travels between the start point and midpoint, then I would say that the object travels 12 cm.
if the ave velocity was 3 cm/s (it isn't but this was the result you gave earlier) and time interval is 4 sec (which is the interval between start and midpoint), then 12 cm would be the correct conclusion.
If we are talking about how far it travels from our point of 16 cm to 40 cm then I would say that the object travels 24 cm.
16 cm and 40 cm are not quantities involved in this problem; 16 cm/s and 40 cm/s are, but their difference is 24 cm/s, not 24 cm
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• By how much does the clock time change during this interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
The clock time changes 4 seconds during the time interval from start to midpoint.
The clock time changes a total of 9 seconds from the start point to finish point.
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• By how much does velocity change during this interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
Velocity changes at 3cm/ second from start to midpoint.
The velocity changes 2.6 cm/sec from start to finish.
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• What is the average rate of change of velocity with respect to clock time on this interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
the average rate of change can be found by change in a/change in b.
So the average rate of change of velocity from start to midpoint would be 3cm/sec
The average rate of change of velocity from start to finish would be 2.6 cm/sec.
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• What is the rise of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
The rise on the graph was determined by completing the following: 13-6=9
So rise = 9
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• What is the run of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
The rub of this graph was determined by completing the following: 40-16= 24.
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• What is the slope of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
The rise on the graph between these points if 0.375. This was discovered by taking 13-6 = 9 and 40-16=24. Once obtaining these results, I divided 9/24 = .375
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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: ->->->->->->->->->->->-> (start in the next line):
It is increasing.
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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: ->->->->->->->->->->->-> (start in the next line):
The average rate of change for this objects velocity in respect to clock time during this interval is found by the change in a/change in b. So 24/9= 2.6
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30
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I am not sure if I understood this question completely and I thought some of the questions repeated. Was this a misunderstanding on my part???
I think you did misidentify some of the information. However some of the questions were redundant, in that they asked for essentially the same quantity to be calculated from different points of view.
&#Please compare your solutions with the expanded discussion at the link
Solution
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