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:224 cm.
• By how much does the clock time change during this interval?
answer/question/discussion:8 sec.
• By how much does velocity change during this interval?
answer/question/discussion:24 cm/ sec.
• What is the average rate of change of velocity with respect to clock time on this interval?
answer/question/discussion:3 cm /sec.
This is numerically correct but the units are incorrect. What is the specific calculation you did to obtain this result, and what units result from the calculation?
• 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
The rise and the run have units. The slope has units that result from the units of the rise and the run.
Be sure that you actually do the algebra of the units.
• What does the slope of the graph tell you about the motion of the object during this interval?
answer/question/discussion:it is increasing at an increasing 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/ sec
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5- 10 min.
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You are doing well, but it's possible that you were a little careless with the units.
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