**GRAPHS AND TRACKS**

Today’s lab will give you another opportunity to
explore the relationships between an object’s motion and the graphs that describe the
motion: x-vs-t, v-vs-t, and a-vs-t. Don’t try to do the minimum required and get
finished quickly -- spend some time thinking carefully about what you are doing. I have
not encountered another program that is so useful at building intuition. *Unfortunately, this program is not accessible from locations other
than the Physics Lab.*

The program Graphs and Tracks has two parts. In Part 1, you are given the motion graphs for a ball rolling on a track. You must then design a track that will produce the proper motion. You do this by changing the elevation of the various straight segments of track and altering the initial position and velocity. In Part 2, you are shown an arrangement of the track, and you must construct qualitative motion time graphs by using a specialized drawing program.

__Part 1__

- Open the PHY 173 folder on your desktop. Start the program by double-clicking on the
'G & T 1'icon within the Lab 2 folder.

- Choose instructions on the first program screen. Go through the instructions.

- Next choose ‘Free Exploration’ under the ‘Options’. Spend about 5 minutes creating different tracks and observing the motion graphs produced. Make sure to experiment with initial position and initial velocity.

- Now proceed to the ‘Examples’. Begin with Example 1. When you finish each example, write a brief description of the motion, draw the track setup, and list the initial position and initial velocity as well as the number of rolls required for success (there is no penalty for a high number of rolls). After you have done this, look at all three graphs one more time. Think about how the graphs are related to each other and to the slope of the various sections of track. If you have trouble with Example 1, do Example 2 before proceeding to the more difficult tracks.

- You have a choice of the other examples to complete: Do ONE of #3 or #4, one of #5 or #6, and one of #7 or #8. Don’t forget that it can be helpful to move between the three graphs. If you get stuck, click on ‘Help’ for a hint. If you feel like the solutions are too easy, try using only the position graph and not looking at the others.

__Part 2__

- Next, exit the program and start Part 2. Again, go through the instructions. If you have never before used a drawing program, the instructions may not be sufficient to make you feel confident. If this is the case, ask for assistance before beginning the second examples.

- Complete the first two examples. To find out if you have the graphs correct, click on the question mark. Once the program verifies your work, draw the track and all three graphs in your notebook.

- Describe what you have learned about the way that the three graphs (of position, velocity and acceleration versus time) are related to each other.

*Modified Aug, 2013*