5.6.3 Acceleration

• Acceleration is the rate of change of velocity
• Match the properties of acceleration and velocity:

  Definition of acceleration ↔️ Rate of change of velocity

  Definition of velocity ↔️ Speed and direction of motion

  Magnitude of acceleration ↔️ Size of change in velocity

  Magnitude of velocity ↔️ Size of speed

  Sign of acceleration ↔️ Positive or negative

  Sign of velocity ↔️ Positive, negative, or zero
• The unit of acceleration is meters per second squared (m/s²).


  True
• A car starts from rest ($u =$$0$ m/s) and reaches a velocity of $v =$$20$ m/s in $t =$$4$ seconds. The acceleration is 5 m/s²
• What does positive acceleration indicate about an object's velocity?

  Increasing velocity
• The units of acceleration are meters per second squared
• An acceleration of 5 m/s² means the velocity increases by 5 meters per second every second
• Match the variable with its unit:

  $a_{avg}$ ↔️ m/s²

  $v$ ↔️ m/s

  $t$ ↔️ s
• Acceleration is a vector quantity because it has both magnitude and direction
• Acceleration is a vector quantity.


  True
• The formula for acceleration is $a =$$\frac{v - u}{t}$, where $a$ is acceleration, $v$ is final velocity, $u$ is initial velocity, and $t$ is time
• Arrange the steps to calculate acceleration using the formula $a =$$\frac{v - u}{t}$:


  1️⃣ Identify the final velocity (v) in m/s

  2️⃣ Identify the initial velocity (u) in m/s

  3️⃣ Identify the time (t) in seconds

  4️⃣ Subtract u from v to find the change in velocity

  5️⃣ Divide the change in velocity by time to find acceleration
• Negative acceleration means the velocity is decreasing.


  True
• Match the symbols in the acceleration formula with their definitions and units:

  $a$ ↔️ Acceleration (m/s²)

  $v$ ↔️ Final Velocity (m/s)

  $u$ ↔️ Initial Velocity (m/s)

  $t$ ↔️ Time (s)
• Acceleration represents the rate of change of velocity over time.

  True
• What is the acceleration of an object that goes from 0 m/s to 20 m/s in 4 seconds?

  5 m/s²
• The formula for average acceleration is a_{avg} = \frac{v - u}{t}</latex>


  True
• Arrange the properties of acceleration and velocity in the correct order:

  1️⃣ Definition of acceleration: Rate of change of velocity

  2️⃣ Definition of velocity: Speed and direction of motion

  3️⃣ Magnitude of acceleration: Size of change in velocity

  4️⃣ Magnitude of velocity: Size of speed

  5️⃣ Direction of acceleration: Direction of change in velocity

  6️⃣ Direction of velocity: Direction of motion
• Negative acceleration means the velocity is decreasing.


  True
• The formula for acceleration calculates how quickly the velocity of an object changes over time.


  True
• Match the variable with its description in the acceleration formula:

  $v$ ↔️ Final velocity

  $u$ ↔️ Initial velocity

  $t$ ↔️ Time taken
• The formula for acceleration calculates it as the change in velocity divided by the change in time
• Match the variable in the acceleration formula with its unit:

  Acceleration ↔️ m/s²

  Final velocity ↔️ m/s

  Time ↔️ s
• The formula for average acceleration is the change in velocity divided by the change in time
• Match the variable in the average acceleration formula with its unit:

  Average acceleration ↔️ m/s²

  Initial velocity ↔️ m/s

  Time ↔️ s
• Positive acceleration occurs when the velocity of an object is increasing
• Match the property with the correct description for acceleration and velocity:

  Acceleration ↔️ Rate of change of velocity

  Velocity ↔️ Speed and direction of motion
• The formula to calculate acceleration is $a =$$\frac{v - u}{t}$, where $a$ is acceleration, $v$ is final velocity, $u$ is initial velocity, and $t$ is time
• Acceleration is a vector quantity.


  True
• What is the formula to calculate acceleration?

  a = \frac{v - u}{t}</latex>
• What is the magnitude of acceleration?

  Size of change in velocity
• Velocity is a vector quantity.


  True
• If an object accelerates from 0 m/s to 20 m/s in 4 seconds, what is its acceleration?

  5 m/s²
• Velocity-time graphs show how the velocity of an object changes over time.


  True
• The area under a velocity-time graph represents the distance
• Match the feature of a velocity-time graph with its meaning:

  Slope ↔️ Acceleration

  Area under graph ↔️ Distance

  Horizontal line ↔️ Constant velocity
• What does the variable $a$ represent in the acceleration formula?


  Acceleration
• A car starting from rest and reaching 20 m/s in 4 seconds has an acceleration of 5 m/s²
• What is the unit of time in the study of acceleration?

  seconds
• A car that accelerates from rest to 20 m/s in 4 seconds has an acceleration of 5 m/s².


  True