5.4.12 Area Under Velocity-Time Graphs

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

  It represents the total displacement of the object during the time interval.
• What is the definition of the area under velocity-time graphs?

  • The area between the velocity-time curve and the time axis.
  • Represents the total displacement of the object during the time interval.
• What is the formula for calculating the area of a rectangle in a velocity-time graph?

  Area = Velocity × Time
• If an object moves at a constant velocity of 5 m/s for 10 seconds, what is the displacement?

  50 meters
• What is the formula for calculating the area of a triangle in a velocity-time graph?

  Area = 1/2 × Base × Height
• If velocity increases from 0 to 20 m/s over 4 seconds, what is the displacement?

  40 meters
• What is the formula for calculating the area of a trapezium in a velocity-time graph?

  Area = 1/2 × (Base1 + Base2) × Height
• What are the shapes used to calculate the area under velocity-time graphs?

  • Rectangle: Area = Velocity × Time
  • Triangle: Area = 1/2 × Base × Height
  • Trapezium: Area = 1/2 × (Base1 + Base2) × Height
• In the example of a horizontal line at 10 m/s for 6 seconds, what is the displacement?

  60 meters
• For a line starting at 0 m/s and increasing to 15 m/s over 5 seconds, what is the displacement?

  37.5 meters
• How do you calculate the total displacement when an object accelerates and then decelerates?

  Add the displacements from both the acceleration and deceleration phases.
• If an object accelerates from 5 m/s to 15 m/s over 4 seconds, what is the displacement during acceleration?

  20 meters
• If an object decelerates from 15 m/s to 0 m/s over 4 seconds, what is the displacement during deceleration?

  30 meters
• What is the total displacement when an object accelerates 20 meters and then decelerates 30 meters?

  50 meters
• Why is understanding how to calculate the area under velocity-time graphs essential?

  • It helps solve problems related to motion.
  • Provides insights into how far an object has traveled during a specific time period.