Constant Velocity: Position-Time Graphs #1 Printer Friendly Version
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 position-time 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 position-time graph displaying the behavior of a race cart along a linear track.

During which time interval did it first travel in a positive direction?
During which second time interval did it later, once again, travel in a positive direction?
During which time interval did it first travel in a negative direction?
During which second time interval did it continue traveling in a negative direction?
Refer to the following information for the next six questions.

Using the same position-graph 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 position-time graph,
- distance is found by calculating comparing the cart's position (the graph's y-axis coordinate) at two times (the graph's x-axis 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?