Using Velocity Time Graphs

• What can the acceleration of an object be determined from?

  Its velocity time graph
• How is acceleration determined from a velocity time graph?

  By taking the gradient of the line
• What is the method used to determine acceleration from a velocity time graph similar to?

  It is similar to the distance-time graph
• What can be calculated from the area under the line of a velocity time graph?

  The distance traveled by an object
• How can the distance traveled during 30 seconds be calculated from a velocity time graph?

  By working out the area under the line
• What are the shapes used to calculate the area under a velocity time graph?

  • Triangle A: Area = (10 x 20) + 2 = 100
  • Rectangle B: Area = 20 x 5 = 100
  • Triangle C: Area = (15 x 20) + 2 = 150
• What is the total area under the graph if Triangle A, Rectangle B, and Triangle C are combined?

  350 m
• What is the velocity at 0 seconds in the given data?

  25 m/s
• What is the velocity at 10 seconds in the given data?

  20 m/s
• What is the velocity at 15 seconds in the given data?

  15 m/s
• What is the velocity at 30 seconds in the given data?

  10 m/s
• What is the velocity at 5 seconds in the given data?

  5 m/s
• What is the velocity at 20 seconds in the given data?

  20 m/s
• What is the velocity at 25 seconds in the given data?

  30 m/s
• What is the velocity at 1 second in the given data?

  5 m/s
• What is the velocity at 3 seconds in the given data?

  10 m/s
• What is the velocity at 4 seconds in the given data?

  15 m/s
• What is the velocity at 6 seconds in the given data?

  20 m/s
• What is the velocity at 7 seconds in the given data?

  25 m/s
• What is the velocity at 8 seconds in the given data?

  30 m/s
• What is the velocity at 9 seconds in the given data?

  15 m/s
• What is the velocity at 11 seconds in the given data?

  5 m/s
• What is the velocity at 12 seconds in the given data?

  10 m/s
• What is the velocity at 13 seconds in the given data?

  15 m/s
• What is the velocity at 14 seconds in the given data?

  20 m/s
• What is the velocity at 16 seconds in the given data?

  25 m/s
• What is the velocity at 17 seconds in the given data?

  30 m/s
• What is the velocity at 18 seconds in the given data?

  15 m/s
• What is the velocity at 19 seconds in the given data?

  10 m/s
• What is the velocity at 21 seconds in the given data?

  5 m/s
• What is the velocity at 22 seconds in the given data?

  10 m/s
• What is the velocity at 23 seconds in the given data?

  15 m/s
• What is the velocity at 24 seconds in the given data?

  20 m/s
• What is the velocity at 26 seconds in the given data?

  25 m/s
• What is the velocity at 27 seconds in the given data?

  30 m/s
• What is the velocity at 28 seconds in the given data?

  15 m/s
• What is the velocity at 29 seconds in the given data?

  10 m/s
• What is the velocity at 30 seconds in the given data?

  5 m/s
• What is the relationship between velocity and time in the context of a velocity time graph?

  • Velocity is plotted on the y-axis
  • Time is plotted on the x-axis
  • The slope represents acceleration