Match the motion map to the correct graph.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Matching Motion Maps to Corresponding Graphs**

The image presents a task where students are required to match motion maps of a red car to the correct graphs. Each motion map depicts the positions of the car over time, represented by sequential positions of a car and dots (indicating discrete time intervals). There are five different motion maps, each displaying different motion patterns of the car. To the right of each motion map, there is an empty rectangular box with a dotted line connecting it to the motion map. 

The task likely involves:
1. **Interpreting Motion Maps:** Understanding how the scattered dots and the car's position represent motion over time.
2. **Matching Correctly:** Each motion map needs to be matched to a corresponding graph or description that accurately illustrates or describes the motion.

### Understanding the Motion Maps:

1. **First Motion Map:**
   - The car is positioned consistently to the right.
   - Dots are evenly spaced and follow the car to the right.
   - **Interpretation:** The car is moving at a constant speed in a straight line.

2. **Second Motion Map:**
   - The car starts on the left and gradually moves to the right.
   - Dots start evenly spaced but the distance between dots increases.
   - **Interpretation:** The car is accelerating.

3. **Third Motion Map:**
   - The car starts on the left with dots closely positioned behind it, then quickly moves to the right with larger spacing between dots.
   - **Interpretation:** The car starts from rest and accelerates quickly.

4. **Fourth Motion Map:**
   - The car moves along with closely placed dots, indicating slow movement.
   - Dots behind the car are almost overlapping or clustered.
   - **Interpretation:** The car is moving very slowly or initially at rest, then potentially accelerates slightly.

5. **Fifth Motion Map:**
   - The car is positioned amidst a closely packed series of dots, all at a significant distance to the left.
   - **Interpretation:** The car may be stationary, or moving very slowly or starting to accelerate.

**Instructions for Students:**
- Carefully observe each motion map.
- Understand the progression of the car's position in relation to the dots.
- Connect each motion map to the correct description or graph that best represents the depicted motion of the car. 

This activity aids in building students' understanding of different types of motion such as constant velocity, acceleration, and
Transcribed Image Text:**Matching Motion Maps to Corresponding Graphs** The image presents a task where students are required to match motion maps of a red car to the correct graphs. Each motion map depicts the positions of the car over time, represented by sequential positions of a car and dots (indicating discrete time intervals). There are five different motion maps, each displaying different motion patterns of the car. To the right of each motion map, there is an empty rectangular box with a dotted line connecting it to the motion map. The task likely involves: 1. **Interpreting Motion Maps:** Understanding how the scattered dots and the car's position represent motion over time. 2. **Matching Correctly:** Each motion map needs to be matched to a corresponding graph or description that accurately illustrates or describes the motion. ### Understanding the Motion Maps: 1. **First Motion Map:** - The car is positioned consistently to the right. - Dots are evenly spaced and follow the car to the right. - **Interpretation:** The car is moving at a constant speed in a straight line. 2. **Second Motion Map:** - The car starts on the left and gradually moves to the right. - Dots start evenly spaced but the distance between dots increases. - **Interpretation:** The car is accelerating. 3. **Third Motion Map:** - The car starts on the left with dots closely positioned behind it, then quickly moves to the right with larger spacing between dots. - **Interpretation:** The car starts from rest and accelerates quickly. 4. **Fourth Motion Map:** - The car moves along with closely placed dots, indicating slow movement. - Dots behind the car are almost overlapping or clustered. - **Interpretation:** The car is moving very slowly or initially at rest, then potentially accelerates slightly. 5. **Fifth Motion Map:** - The car is positioned amidst a closely packed series of dots, all at a significant distance to the left. - **Interpretation:** The car may be stationary, or moving very slowly or starting to accelerate. **Instructions for Students:** - Carefully observe each motion map. - Understand the progression of the car's position in relation to the dots. - Connect each motion map to the correct description or graph that best represents the depicted motion of the car. This activity aids in building students' understanding of different types of motion such as constant velocity, acceleration, and
### Understanding Position-Time and Velocity-Time Graphs

In physics, understanding the relationship between position, time, and velocity is fundamental. Graphs can provide a clear visual representation of these relationships. Below are explanations of various graphs and what they represent in terms of motion.

#### Position-Time Graphs

1. **Top-Left Graph**:
   - **Description**: This graph shows position versus time with a curve that starts high and decreases over time. There are two points marked on the graph indicating significant moments.
   - **Interpretation**:
     - The object starts at a higher position and its position decreases over time, indicating that the object is moving backward.
     - The curve suggests the object is decelerating initially and then maintains a constant negative position.

2. **Top-Right Graph**:
   - **Description**: This graph depicts the position versus time with a line that increases initially, then stays constant, and finally decreases. Two significant points are marked.
   - **Interpretation**:
     - The object initially increases its position, indicating forward motion.
     - The flat line indicates the object is stationary for a period, maintaining a constant position.
     - The decreasing line suggests the object then moves backward.

#### Velocity-Time Graphs

1. **Middle-Left Graph**:
   - **Description**: This graph shows velocity versus time with a line starting from zero and increasing over time.
   - **Interpretation**:
     - The object's velocity is increasing over time, indicating it is accelerating in the forward direction.

2. **Middle-Right Graph**:
   - **Description**: A velocity versus time graph with a line starting from below zero and increasing towards zero.
   - **Interpretation**:
     - The object's velocity is negative initially, indicating it's moving backward but decelerating or slowing down.

3. **Bottom Graph**:
   - **Description**: This graph displays velocity versus time with a flat line below zero.
   - **Interpretation**:
     - The object's velocity remains constant and negative, indicating it is consistently moving backward at a constant speed.

### General Insights:

- **Positive Slope in Velocity-Time Graph**:
  - Indicates acceleration in the forward direction if velocity is positive.
  - Indicates deceleration if velocity is negative and moving towards zero.

- **Flat Line in Velocity-Time Graph**:
  - A constant velocity.
  - If the line is below zero, it represents constant backward motion.

-
Transcribed Image Text:### Understanding Position-Time and Velocity-Time Graphs In physics, understanding the relationship between position, time, and velocity is fundamental. Graphs can provide a clear visual representation of these relationships. Below are explanations of various graphs and what they represent in terms of motion. #### Position-Time Graphs 1. **Top-Left Graph**: - **Description**: This graph shows position versus time with a curve that starts high and decreases over time. There are two points marked on the graph indicating significant moments. - **Interpretation**: - The object starts at a higher position and its position decreases over time, indicating that the object is moving backward. - The curve suggests the object is decelerating initially and then maintains a constant negative position. 2. **Top-Right Graph**: - **Description**: This graph depicts the position versus time with a line that increases initially, then stays constant, and finally decreases. Two significant points are marked. - **Interpretation**: - The object initially increases its position, indicating forward motion. - The flat line indicates the object is stationary for a period, maintaining a constant position. - The decreasing line suggests the object then moves backward. #### Velocity-Time Graphs 1. **Middle-Left Graph**: - **Description**: This graph shows velocity versus time with a line starting from zero and increasing over time. - **Interpretation**: - The object's velocity is increasing over time, indicating it is accelerating in the forward direction. 2. **Middle-Right Graph**: - **Description**: A velocity versus time graph with a line starting from below zero and increasing towards zero. - **Interpretation**: - The object's velocity is negative initially, indicating it's moving backward but decelerating or slowing down. 3. **Bottom Graph**: - **Description**: This graph displays velocity versus time with a flat line below zero. - **Interpretation**: - The object's velocity remains constant and negative, indicating it is consistently moving backward at a constant speed. ### General Insights: - **Positive Slope in Velocity-Time Graph**: - Indicates acceleration in the forward direction if velocity is positive. - Indicates deceleration if velocity is negative and moving towards zero. - **Flat Line in Velocity-Time Graph**: - A constant velocity. - If the line is below zero, it represents constant backward motion. -
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