1.1.3 Velocity-Time Graphs

• A straight line with a positive gradient on a velocity-time graph represents acceleration
• A horizontal line on a velocity-time graph shows the object is accelerating

  False
• The gradient of a velocity-time graph represents the acceleration of the object.

  True
• If the velocity increases from 5 m/s to 15 m/s over 2 seconds, the acceleration is 5 m/s^2.

  True
• A straight horizontal line on a velocity-time graph represents constant velocity.

  True
• The area under a velocity-time graph represents the object's displacement.


  True
• A straight horizontal line on a velocity-time graph represents constant velocity.
• Steps to calculate acceleration from a velocity-time graph

  1️⃣ Identify a section of the graph where the velocity is changing linearly

  2️⃣ Choose two points on this straight line section

  3️⃣ Calculate the change in velocity between the two points

  4️⃣ Calculate the change in time between the two points

  5️⃣ Divide the change in velocity by the change in time
• Steps to calculate distance from a velocity-time graph

  1️⃣ Divide the graph into simple geometric shapes

  2️⃣ Calculate the area of each shape

  3️⃣ Sum the areas of all shapes
• What is a velocity-time graph used to represent?

  Velocity over time
• A straight line with a negative gradient on a velocity-time graph indicates deceleration


  True
• The gradient of a velocity-time graph represents the object's acceleration
• A velocity-time graph plots velocity on the y-axis against time on the x-axis.
• On a velocity-time graph, acceleration is represented by a straight line with a positive gradient.
• Arrange the key parts of a velocity-time graph in order of their interpretation:

  1️⃣ Horizontal Line (Constant Velocity)

  2️⃣ Positively Sloped Line (Acceleration)

  3️⃣ Negatively Sloped Line (Deceleration)

  4️⃣ Area Under the Curve (Displacement)
• What type of line on a velocity-time graph represents acceleration?

  Positive gradient
• What is the acceleration of an object if its velocity increases from 5 m/s to 15 m/s over 2 seconds?

  $5 \, \text{m / s}^{2}$
• What is the area of a triangle in a velocity-time graph if its base is 2 seconds and its height is 10 m/s?

  $10 \, \text{m}$
• A straight horizontal line on a velocity-time graph indicates constant velocity


  True
• What does the area under a velocity-time graph represent?

  Displacement
• To calculate the acceleration of an object from a velocity-time graph, we need to find the gradient of the graph.gradient
• Steps to calculate acceleration from a velocity-time graph:

  1️⃣ Identify a section of the graph where the velocity is changing linearly

  2️⃣ Choose two points on this straight line section

  3️⃣ Calculate the change in velocity between the two points

  4️⃣ Calculate the change in time between the two points

  5️⃣ Divide the change in velocity by the change in time
• Match the motion type with its velocity-time graph:

  Constant Velocity ↔️ Horizontal line at a constant velocity value

  Acceleration ↔️ Upward sloping line

  Deceleration ↔️ Downward sloping line
• Match the part of a velocity-time graph with its interpretation:

  Horizontal Line ↔️ Constant Velocity

  Positively Sloped Line ↔️ Acceleration

  Negatively Sloped Line ↔️ Deceleration

  Area Under the Curve ↔️ Displacement
• What is plotted on the y-axis of a velocity-time graph?

  Velocity
• The area under a velocity-time graph represents displacement.


  True
• To calculate the distance traveled from a velocity-time graph, you need to find the area under the curve.
• The area under the entire velocity-time curve represents the total displacement.

  True