Displacement time graphs

• What do displacement-time graphs represent?

  They represent the motion of objects.
• What is plotted on the y-axis of a displacement-time graph?

  Displacement is plotted on the y-axis.
• What is plotted on the x-axis of a displacement-time graph?

  Time is plotted on the x-axis.
• How is velocity calculated from a displacement-time graph?

  Velocity is calculated as the gradient of the graph.
• What does a negative velocity indicate?

  A negative velocity indicates the object is moving towards the starting position.
• What does a positive velocity indicate?

  A positive velocity indicates the object is moving away from the starting position.
• What is the velocity of the car at t = 10 s according to the graph?

  The velocity is $6 \text{ m/s}$.
• What is the velocity of the car at t = 25 s according to the graph?

  The velocity is $4.8 \text{ m/s}$.
• What is the velocity of the car at t = 40 s according to the graph?

  The velocity is $-4.0 \text{ m/s}$.
• What does Graph B represent?

  • A car at rest
• What does Graph D represent?

  • A car moving with displacement 'x' away from you
• What does Graph F represent?

  • A car moving with increasing velocity away from you, starting its displacement 'x' away from you
• What does Graph C represent?

  • A car moving with increasing velocity towards you
• What does Graph E represent?

  • A car moving away from you and decelerating to a halt
• What happens to the ball's velocity in the described scenario?

  The ball decreases velocity to $0.5 \text{ m/s}$ and then increases again.
• What is the initial velocity of the ball when it reaches $0 \text{ m/s}$?


  The initial velocity is $0.5 \text{ m/s}$.
• What does the phrase "when niting Ichiiding win se yrosund dt!" imply in the context of the ball's motion?

  This phrase appears to be a typographical error and lacks clear meaning.
• What is the significance of the gradient in a displacement-time graph?

  The gradient represents the velocity of the object.
• How can you determine if an object is at rest from a displacement-time graph?

  If the graph is a horizontal line, the object is at rest.
• How can you differentiate between a car moving towards you and a car moving away from you on a displacement-time graph?

  A car moving towards you will have a negative slope, while a car moving away will have a positive slope.
• If a car's displacement is increasing at a constant rate, what does this indicate about its velocity?

  This indicates that the car is moving with constant velocity.
• What does it mean if the displacement of an object is constant over time?

  This means the object is at rest.