Area under velocity time graph

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

  Displacement
• How can displacement be calculated from a velocity-time graph?

  By using the equation: Area under graph = velocity × time
• Describe the motion of the object from t = 0 to t = 5 s.

  • The object is moving at an increasing velocity.
  • The object starts from rest.
• What was the displacement calculated for the object in the previous question?

  26.17 m
• Describe the motion of the ball as it rolls up a slope.

  • The ball is moving at a constant deceleration.
  • The ball has a negative gradient on the velocity-time graph.
  • The velocity of the ball stays constant.
• What is the time frame for the motion of car A described in the study material?

  From t = 0 to t = 10 s
• Describe the motion of car A from t = 0 to t = 4 s.

  • Car A is moving at a constant velocity.
  • There is no acceleration during this time.
• What is the distance travelled by car A in the first 4.0 s?

  14 m
• What is the formula used to calculate the distance travelled by car A?

  Distance = velocity × time
• What is the time at which both car A and B have the same velocity?

  At t = 5 s
• What is the significance of a negative gradient in a velocity-time graph?

  • Indicates deceleration.
  • The object is slowing down.
• What are the key features of a velocity-time graph for an object moving with constant velocity?

  • The graph is a horizontal line.
  • The gradient is zero.
  • The velocity remains unchanged over time.
• What are the implications of a positive gradient in a velocity-time graph?

  • Indicates acceleration.
  • The object is speeding up.