1.2 Displacement, Velocity, and Acceleration

• Displacement is the change in an object's position
• What is the formula for calculating displacement?

  $\Delta x =$$x_{f} - x_{i}$
• Velocity is a vector quantity.


  True
• Acceleration is the rate of change of an object's velocity
• What is the formula for calculating acceleration?

  $a =$$\frac{\Delta v}{\Delta t}$
• What is velocity defined as?

  Rate of change of position
• Match the variable with its meaning:

  \( v \) ↔️ Velocity

  \( \Delta x \) ↔️ Displacement

  \( \Delta t \) ↔️ Change in time
• What is the formula for calculating velocity?

  v = \frac{\Delta x}{\Delta t}</latex>
• Order the concepts based on their definitions from general to specific:

  1️⃣ Displacement

  2️⃣ Velocity

  3️⃣ Acceleration
• If a car increases its velocity from \( 10 \, \text{m/s} \) to \( 20 \, \text{m/s} \) in \( 5 \) seconds, what is its acceleration?

  $2 \, \text{m / s}^{2}$
• Match the concept with its variable and formula:

  Displacement ↔️ \(\Delta x\) ||| \(\Delta x = x_f - x_i\)

  Velocity ↔️ \(v\) ||| \(v = \frac{\Delta x}{\Delta t}\)

  Acceleration ↔️ \(a\) ||| \(a = \frac{\Delta v}{\Delta t}\)
• The formula for velocity is \( v = \frac{\Delta x}{\Delta t} \), where \( \Delta x \) represents displacement
• What is velocity defined as?

  Rate of change of position
• The formula for velocity is \(v = \frac{\Delta x}{\Delta t}\)
• The formula for acceleration is \(a = \frac{\Delta v}{\Delta t}\)
• What is the key difference between velocity and displacement?

  Velocity is rate of change of position
• What is velocity defined as in physics?

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

  $v =$$\frac{\Delta x}{\Delta t}$
• Match the concept with its definition and properties:

  Displacement ↔️ Change in position ||| Distance between initial and final positions ||| From initial to final position

  Velocity ↔️ Rate of change of position ||| Speed ||| Direction of motion
• Acceleration is a vector quantity, meaning it has both magnitude and direction
• Positive acceleration indicates increasing velocity, while negative acceleration indicates decreasing velocity.


  True
• Match the concept with its definition and properties:

  Displacement ↔️ Change in position ||| Distance between initial and final positions ||| From initial to final position

  Velocity ↔️ Rate of change of position ||| Speed ||| Direction of motion

  Acceleration ↔️ Rate of change of velocity ||| Rate of change in speed ||| Direction of velocity change
• What is the relationship between displacement, velocity, and acceleration?

  Interconnected in kinematics
• Understanding displacement is fundamental for comprehending velocity and acceleration.


  True
• The formula for displacement is \(\Delta x = x_f - x_i\)
• The formula for velocity is \(v = \frac{\Delta x}{\Delta t}\)
• What does the variable \(\Delta x\) represent in the formula for displacement?

  Displacement
• Velocity is the rate of change of an object's position over time.


  True
• Acceleration is the rate of change of an object's velocity over time.


  True
• Match the concept with its formula:

  Displacement ↔️ \(\Delta x = x_f - x_i\)

  Velocity ↔️ \(v = \frac{\Delta x}{\Delta t}\)

  Acceleration ↔️ \(a = \frac{\Delta v}{\Delta t}\)
• Displacement can be zero if the final position is the same as the initial position.


  True
• Velocity is the rate of change of an object's position over time
• What is the formula for calculating velocity?

  $v =$$\frac{\Delta x}{\Delta t}$
• Acceleration is a vector quantity.


  True
• Negative acceleration indicates that an object's velocity is decreasing.

  True
• Velocity is a scalar quantity.

  False
• Velocity is a vector quantity, meaning it has both magnitude and direction
• Velocity can only be positive.

  False
• Acceleration is the rate of change of an object's velocity
• Velocity is the rate of change of displacement.


  True