Graph MatchingLearning Target: I can relate physical phenomena to kinematic graphs.

Motion is relative to an observer or designated point of observation.

Motion at constant velocity means - The object has equal displacement in equal time intervals. - The object takes the same amount of time to experience equal

displacement.

Vectors: dimensions with magnitude and direction specified.

1. _________________

2. _________________

3. _________________

Scalars: dimensions that specify only magnitude.

1. _________________

2. _________________

3. _________________

Name: ________________________

____________________________________________________________________________

Directions: Perform the motion described below. Sketch the LoggerPro graphs on the right.

Motion Graph (with M-D located)

Stand in front of the motion detector about one meter away.

Stand close to the motion detector, click the arrow and slowly walk away from the detector at a constant pace.

Stand close to the motion detector, click the arrow and quickly walk away from the detector at a constant pace

Stand about 5 metes away from the motion detector, click the arrow and slowly walk toward the detector at a constant pace.

Stand about 5 meters away from the detector ,click the arrow and quickly walk toward the detector.

Directions: Next, you will recreate the graphs on the left. The motion detector will determine your position over time and create a graph. Repeat each one as many times as necessary to match the graph.

After successfully matching the graph, describe how you moved including: starting position, direction of motion, relative speed and ending position.

Beginning on number 4, there are two intervals of motion so you must describe each interval.

Last, sketch a motion diagram that is consistent with the graph and your word description.

Graph match Word Description1. What did you have to do to match the graph? What is the x position of the motion detector?

Sketch the Motion Diagram:

0 + x

2. What did you have to do to match the graph?

Sketch the Motion Diagram:

0 + x

Graph match Word Description3. What did you have to do to match the graph?

Sketch the Motion Diagram:

0 + x

4. What did you have to do to match the graph?

Sketch the Motion Diagram:

0 + x

5. What did you have to do to match the graph?

Graph match Word DescriptionSketch the Motion Diagram:

0 + x

6. What did you have to do to match the graph?

Sketch the Motion Diagram:

0 + x

7. What did you have to do to match the graph?

Sketch the Motion Diagram:

0 + x

Graph match Word Description

8. What did you have to do to match the graph?

Sketch the Motion Diagram:

0 + x

Create a Challenge:

Sketch the Motion Diagram:

0 + x

Practical Application:

As you know, position can be positive or negative. Why do the Position time graphs

Graphing relative motion: same direction

Abby and Whitney are having breakfast at Whitney’s house. Suddenly, Whitney remembers that they have track practice that morning. Whitney stands up and starts running at a constant speed of 2 m/s toward the track field that is 800 m away from Whitney’s house. Two minutes after Whitney leaves, Abby finishes her breakfast and starts running towards the track field at a constant speed of 4 m/s.

a) Complete the x vs. t graph of Whitney’s and Abby’s journey to track practice. Draw a motion diagram for the girls’ motion.

b). What time does Abby pass Whitney? Explain how you know.

c). When Abby passes Whitney, how far from the track are they? Explain how you know.

d). Plot the vt graph of the girl’s motion.

Practical Application:

As you know, position can be positive or negative. Why do the Position time graphs

Find each’s girls displacement at t = 3 minutes.

e). Write the equation(s) for Whitney’s position with respect to Whitney’s house. Take t = 0 s to be the moment when Whitney starts to school.

f). Write the equation(s) for Abby’s position with respect to Whitney’s house. Take t = 0 s to be the moment when Whitney starts to school. Caution: there are two separate intervals of motion!!

Graphing relative motion: opposite directions Abner and Carly agree to meet on a bike trail. They start 10 km apart on the straight, flat trail. Abner’s velocity is 4.5 m/s. Carly’s velocity is – 5.5 m/s.

Abner’s dog, Betty, comes along and moves at the average speed of 15m/s throughout the bike ride. Betty begins with Abner and runs until meeting Carly. When Betty reaches Carly, he immediately turns back to run towards Abner. Silly Betty continues this nonsense until Abner and Carly meet.

What is Abner’s velocity relative to Carly?

What is Carly’s velocity relative to Abner?

What distance did Abner cover?

What distance did Carly cover?

What distance did Betty cover?

On the graphs, draw the xt and vt graphs for Abner, Betty and Carly. Show their displacements on the vt graph.