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: ->->->->->->->->->->->-> : The clock time would be 9 seconds. This is obtained by subtracting the two times, dividing by 2 and adding the result to the 5 seconds.
• What is the velocity at the midpoint of this interval?
answer/question/discussion: ->->->->->->->->->->->-> : 28 cm/s, this is obtained by subtracting the two velocities, dividing by 2 and adding the result to the 16cm/s.
• How far do you think the object travels during this interval?
answer/question/discussion: ->->->->->->->->->->->-> : 24 cm (40 cm – 16 cm)
• By how much does the clock time change during this interval?
answer/question/discussion: ->->->->->->->->->->->-> : 8 sec (13 sec – 5 sec)
• 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, this is obtained by subtracting both the time and velocity from each other and dividing.
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• What is the rise of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> : The rise is 24, the difference between the 2 vertical points.
• What is the run of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> : The run is 8, the difference btw the 2 horizontal points,
• What is the slope of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> : The slope is 3, the rise divided by the run.
• What does the slope of the graph tell you about the motion of the object during this interval?
answer/question/discussion: ->->->->->->->->->->->-> : It shows that the velocity of the object is increasing at a constant rate.
rise, run and slope all have units
• 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, this is obtained by subtracting both the time and velocity from each other and dividing.
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20 min
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&#Please compare your solutions with the expanded discussion at the link
Solution
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