Distance-time Graphs

• What do distance-time graphs allow us to visualize?

  How far something has traveled over time
• What does the gradient of the line on a distance-time graph represent?

  The speed of the object at that time
• What is the formula for speed in terms of distance and time?

  Speed = change in distance / change in time
• What is the gradient for the first section where the cyclist travels 20 meters in 2 seconds?

  10 meters per second
• What does a flat line on a distance-time graph indicate?

  The object is stationary
• What does a steeper line on a distance-time graph indicate?

  The speed is increasing
• What does a decreasing gradient on a distance-time graph indicate?

  The object is decelerating
• Why is it trickier to find speed at changing speeds on a distance-time graph?

  Because speed is constantly changing
• How do you find the speed at a specific point on a curve?

  Draw a tangent to the curve at that point
• What is a tangent in relation to a curve on a graph?

  A straight line touching the curve at one point
• How do you calculate the gradient of a tangent?

  By dividing change in distance by change in time
• What speed is calculated if the change in distance is around 12 meters and the change in time is 3 seconds?

  4 meters per second
• What do straight lines, flat lines, and curved lines represent on a distance-time graph?

  • Straight lines: Constant speeds
  • Flat lines: Stationary
  • Curved lines: Changing speeds
• How do you calculate speed at a point on a straight line?

  Calculate the gradient of the line
• What should you do if the point lies on a curve?

  Draw a tangent and calculate its gradient
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