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### 301-A: Position Graphs and Motion Maps

• Topic Cluster: Kinematics
• Topic: Forward Kinematics Qualitative
• Objective: Identify position-time graphs and motion maps for single-step descriptions of motion.
• Content: Position-time graphs and motion maps are two ways to represent how something is moving.
• Level: 1

#### BACK to Ladder Forward Kinematics Qualitative

In this unit, we will create qualitative descriptions of how objects move. A qualitative description relies only on patterns and shapes rather than numbers. There are four different tools we will use to describe motion qualitatively: motion-maps, position-time graphs, velocity-time graphs, and acceleration-time graphs. This first section will deal with position-time graphs and motion maps.

This unit will also focus exclusively on objects moving forward. Future unit will deal with objects moving forwards and backwards and moving in more than one dimension.

Specifically, in this unit we will categorize motion into four separate types. Fully understanding these four types will be the core of understanding qualitative kinematics.

• Moving with a constant velocity
• Speeding up (moving with a positive acceleration)
• Slowing down (moving with a negative acceleration)
• Not moving

#### Motion Maps

A motion map is created by placing a dot at a person's location every second.

• Motion Map for moving with a constant velocity:
• Motion Map for speeding up (positive acceleration)
• Motion Map for slowing down (negative acceleration)
• Motion Map for not moving

For each of the statements below, select the motion map that connects to that type of motion.

1. A car is at a red light. The light turns green and the car begins moving, getting faster and faster.
2. A:
3. A car is driving on route six at 40 mph and does not change speed.
4. B:
5. A car is driving when the light ahead turns red. The car slows down until it is stopped.
6. C:
7. A car is parked.
8. D:

#### Position-Time Graphs

A position-time graph is a graph that displays position on the vertical axis and time on the horizontal axis. When the graph shows a line moving upwards or downwards, it indicates an object is changing position, which means it is moving!

• Position-time graph for an object moving with a constant velocity:
• Position-time graph for an object that is speeding up (positive acceleration):
• Position-time graph for an object that is slowing down (negative acceleration):
• Position-time graph for not moving:

For each story, select the corresponding position-time graph.

1. A person is running a distance race at a consistent pace.
2. A:
3. Someone is lazy and isn't running at all.
4. B:
5. Someone was running in a race, but saw a cow in the way and slowed to a stop.
6. C:
7. A sprinter starts a race by going from the blocks to a high speed.
8. D:

For each motion map, select the corresponding position-time graph.

1. A:
2. B:
3. C:
4. D: