1.3 Representing Motion

• What does representing motion help us understand and analyze?

  Object movement in space and time
• Graphs can be difficult to interpret for complex motion.


  True
• Data tables illustrate patterns as effectively as graphs.

  False
• What do graphs show in the context of motion?

  Relationship between variables
• Graphs are easier to interpret for complex motion than data tables.

  False
• Graphs can be difficult to interpret for complex motion
• What is a primary disadvantage of data tables?

  Does not illustrate patterns
• Graphs illustrate patterns and trends in the motion of an object
• Match the representation with its primary use:

  Diagrams ↔️ Visualizing paths and forces

  Graphs ↔️ Illustrating relationships between variables

  Data Tables ↔️ Organizing numerical data points

  Equations ↔️ Expressing motion mathematically
• The horizontal intercept of a distance vs. time graph represents the object's starting position
• What does the vertical intercept of a distance vs. time graph represent?

  Initial distance
• The slope of a velocity vs. time graph represents the object's acceleration
• What does the vertical intercept of a velocity vs. time graph indicate?

  Time when velocity is zero
• Diagrams provide a visual understanding of paths and forces
• Equations express motion with precise numerical values
• Match the representation with its advantage:

  Diagrams ↔️ Visual understanding of paths

  Graphs ↔️ Show relationships between variables

  Equations ↔️ Mathematically express motion

  Data Tables ↔️ Organize specific numerical data
• Data tables organize specific numerical data points
• What is one advantage of using diagrams to represent motion?

  Visually shows paths and forces
• Equations provide a mathematically precise representation of motion but can be less intuitive.


  True
• Arrange the following steps for interpreting graphs of motion:

  1️⃣ Identify the variables represented

  2️⃣ Examine the trends or patterns

  3️⃣ Calculate slope for relevant values

  4️⃣ Interpret intercepts and key points

  5️⃣ Draw conclusions about the motion
• Data tables provide precise numerical values but lack visual clarity.

  True
• What does the slope of a distance vs. time graph represent?

  Object's speed
• A steeper slope on a distance vs. time graph indicates a higher speed.

  True
• Match the feature of a distance vs. time graph with its interpretation:

  Slope ↔️ Object is moving at a constant speed

  Horizontal Intercept ↔️ Object started at position 0

  Vertical Intercept ↔️ Object started 5 meters away
• The horizontal intercept of a velocity vs. time graph represents the object's initial velocity at t=0.

  True
• What does the slope of a velocity vs. time graph represent?

  Acceleration
• In a velocity vs. time graph, the vertical intercept indicates the object's initial velocity
• The slope of a velocity vs. time graph is equal to the object's speed.

  False
• Match the graph type with its key features:

  Distance vs. Time ↔️ Slope = speed, Horizontal intercept = starting position

  Velocity vs. Time ↔️ Slope = acceleration, Vertical intercept = initial velocity
• Equations for representing motion are mathematically precise but less intuitive
• What is a disadvantage of using graphs to represent motion?

  Can be difficult to interpret
• In a distance vs. time graph, the horizontal intercept represents the object's starting position.


  True
• In a velocity vs. time graph, the horizontal intercept indicates a non-zero initial velocity
• The horizontal intercept of a velocity vs. time graph represents the object's starting velocity
• What does the slope of a velocity vs. time graph indicate about an object's motion?

  Acceleration
• The vertical intercept of a velocity vs. time graph represents the initial velocity of the object.


  True
• The horizontal intercept of a velocity vs. time graph represents the object's starting velocity
• What does the vertical intercept of a distance vs. time graph represent?

  Initial distance
• The slope of a distance vs. time graph represents the object's speed
• The slope of a distance vs. time graph represents the object's speed.

  True