Worksheet
Constant Velocity: PositionTime Graphs #1
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Refer to the following information for the next four questions.
Match the description provided about the behavior of a cart along a linear track to its best graphical representation. Remember that
velocity
is determined by examining the slope of a positiontime graph:
 positive slopes represent motion in a positive direction
 negative slopes represent motion in a negative direction
 zero slopes represent an object remaining in one position, that is, at rest
at rest
traveling slowly in a positive direction
traveling quickly in a negative direction
traveling fast in a positive direction
Refer to the following information for the next four questions.
Given below is a positiontime graph displaying the behavior of a race cart along a linear track.
During which time interval did it first travel in a positive direction?
010 sec
1015 sec
1530 sec
3040 sec
4055 sec
During which second time interval did it later, once again, travel in a positive direction?
010 sec
1015 sec
1530 sec
3040 sec
4055 sec
During which time interval did it first travel in a negative direction?
010 sec
1015 sec
1530 sec
3040 sec
4055 sec
During which second time interval did it continue traveling in a negative direction?
010 sec
1015 sec
1530 sec
3040 sec
4055 sec
Refer to the following information for the next six questions.
Using the same positiongraph as in section two above, answer these questions regarding how far the cart traveled, its average speeds during each interval, and its displacement. Remember that while

velocity
is determined by calculating the slope of a positiontime graph,

distance
is found by calculating comparing the cart's position (the graph's yaxis coordinate) at two times (the graph's xaxis coordinate). Distance is a scalar quantity that does not depend on the direction of travel, and its

average speed
during a time interval is defined as the total distance it traveled divided by the total time taken.
How far did the cart travel in the first 10 seconds? How fast was it moving during this time interval?
Briefly describe its behavior between 10 and 15 seconds?
How far did it travel between 15 and 30 seconds? How fast was it moving during this time interval?
How far did it travel between 30 and 40 seconds? How fast was it moving during this time interval?
How far did it travel between 40 and 55 seconds? How fast was it moving during this time interval?
What was the total distance it traveled? What was its final displacement?
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