1.2 Displacement, Velocity, and Acceleration

• Displacement is a scalar quantity.

  False
• What type of quantity is displacement?

  Vector
• What is the formula for average velocity?

  \vec{v}_{avg} = \frac{\Delta \vec{d}}{\Delta t}</latex>
• Acceleration is the rate at which an object's velocity changes
• Displacement and distance traveled are always equal.

  False
• Average velocity is calculated by dividing total displacement by total time
• Order the steps for calculating average acceleration.

  1️⃣ Find the change in velocity

  2️⃣ Find the change in time

  3️⃣ Divide the change in velocity by the change in time
• Instantaneous acceleration is the limit of average acceleration as time approaches infinity.

  False
• Acceleration is a vector quantity.


  True
• What is the formula for average acceleration?

  \vec{a}_{avg} = \frac{\Delta \vec{v}}{\Delta t}</latex>
• Instantaneous acceleration is calculated as the limit of the change in velocity over time as the time interval approaches zero.

  True
• Match the type of acceleration with its definition and formula:

  Average Acceleration ↔️ Change in velocity over change in time ||| $\vec{a}_{avg} =$$\frac{\Delta \vec{v}}{\Delta t}$

  Instantaneous Acceleration ↔️ Acceleration at a specific moment ||| $\vec{a} =$$\lim_{\Delta t \to 0} \frac{\Delta \vec{v}}{\Delta t}$
• The standard unit for displacement in the metric system is meters.
• Speed is a scalar quantity.


  True
• What type of quantity is velocity?

  Vector
• Displacement is a scalar quantity.

  False
• Average velocity is calculated by dividing the total displacement by the total time taken.

  True
• What is the formula for average velocity?

  $\vec{v}_{avg} =$$\frac{\Delta \vec{d}}{\Delta t}$
• What are the two types of velocity?

  Average and Instantaneous
• The units for instantaneous acceleration are m/s².


  True
• Speed is a scalar quantity that includes direction.

  False
• What is the acceleration of an object moving with constant velocity?

  Zero
• Changing velocity occurs when an object speeds up, slows down, or changes direction
• What is the acceleration of an object moving with constant velocity?

  Zero
• Acceleration is the rate of change of velocity over time.

  True
• Arrange the concepts from fundamental to derived:

  1️⃣ Displacement

  2️⃣ Velocity

  3️⃣ Acceleration
• In kinematics, consistent sign conventions are used to indicate direction.
• What is displacement defined as?

  Change in position
• Moving 5 m north, then 3 m east is an example of displacement.


  True
• What is velocity defined as?

  Rate of change of displacement
• Instantaneous velocity is calculated as the limit of average velocity as the time interval approaches zero.

  True
• The formula for average velocity is \vec{v}_{avg}
• The formula for instantaneous velocity is \lim_{\Delta t \to 0} \frac{\Delta \vec{d}}{\Delta t}
• What is the definition of acceleration?

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

  \vec{a}_{avg} = \frac{\Delta \vec{v}}{\Delta t}</latex>
• What is the unit for displacement?

  Meters
• Acceleration is measured in meters per second squared.


  True
• Velocity is the rate of change of displacement
• What is constant velocity?

  Steady rate in a straight line
• What is the relationship between displacement and velocity?

  Velocity is the rate of change of displacement