1.3 Representing Motion

• Displacement is a vector quantity that indicates the shortest distance and direction between initial and final positions
• How is average velocity calculated?

  $\frac{\Delta x}{\Delta t}$
• Match the concept with its characteristic:

  Velocity ↔️ Vector quantity with magnitude and direction

  Displacement ↔️ Vector quantity indicating shortest distance and direction
• What formula is used to calculate average velocity?

  $\frac{\Delta x}{\Delta t}$
• The average velocity of an object is calculated as the displacement divided by the time interval
• What is the formula for acceleration?

  $a =$$\frac{\Delta v}{\Delta t}$
• Acceleration is the rate at which an object's velocity changes over time
• Acceleration is a vector quantity.


  True
• Instantaneous acceleration is found by differentiating the velocity function
• Displacement is a vector quantity.


  True
• Match the concept with its definition:

  Velocity ↔️ Rate of change of position

  Displacement ↔️ Change in position
• How is average velocity calculated?

  $v_{avg} =$$\frac{\Delta x}{\Delta t}$
• Acceleration is the rate at which an object's velocity
• Describe the use of displacement-time graphs

  1️⃣ Horizontal axis represents time

  2️⃣ Vertical axis represents displacement

  3️⃣ Slope of the graph indicates velocity

  4️⃣ Curvature of the graph indicates acceleration
• If the slope of a displacement-time graph is positive, the object is moving at a constant positive velocity
• The curvature of a displacement-time graph represents the acceleration
• In a displacement-time graph, the horizontal axis represents time
• A constant negative slope in a displacement-time graph indicates constant negative velocity
• In a velocity-time graph, the slope represents acceleration
• Match the feature of a velocity-time graph with its calculation:

  Slope ↔️ $\frac{\Delta v}{\Delta t}$

  Area under curve ↔️ $\int v \, dt$

  Horizontal line ↔️ $v =$$\text{constant}$
• The curvature of a velocity-time graph represents changes in the object's acceleration.


  True
• The slope of a displacement-time graph is interpreted as velocity
• Match the graph type with its interpretation of curvature:

  Velocity-Time Graph ↔️ Changes in Acceleration

  Displacement-Time Graph ↔️ Changes in Velocity
• Both velocity-time and displacement-time graphs provide valuable information about an object's motion.

  True
• What does a constant positive slope in a velocity-time graph indicate about the object's motion?

  Constant positive acceleration
• The curvature of a velocity-time graph represents changes in the object's acceleration
• Match the concept with its representation in a velocity-time graph:

  Velocity ↔️ Vertical axis

  Acceleration ↔️ Slope

  Changes in acceleration ↔️ Curvature
• The curvature of a displacement-time graph represents changes in the object's velocity
• What is the definition of displacement?

  Change in position
• What is the definition of velocity?

  Rate of change of position
• What is the formula for average velocity?

  $v_{avg} =$$\frac{\Delta x}{\Delta t}$
• What is the definition of position in physics?

  Location relative to reference
• Velocity is a scalar quantity because it only has magnitude and no direction.

  False
• Instantaneous velocity is calculated as the derivative of the position function
• Order the key differences between average and instantaneous velocity:

  1️⃣ Definition

  2️⃣ Calculation

  3️⃣ Representation

  4️⃣ Application
• Velocity is a vector quantity that includes both magnitude and direction.


  True
• What does instantaneous velocity represent?

  Velocity at a specific instant
• Acceleration is a vector quantity, meaning it has both magnitude and direction
• What is average acceleration calculated as?

  $a_{avg} =$$\frac{\Delta v}{\Delta t}$
• What is the definition of position in physics?

  Location relative to reference