Distance-Time graphs

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

  They allow us to visualize how far something has traveled in a certain period of time.
• How far did the cyclist travel in the example given?

  50 meters
• What does the gradient of the line on a distance-time graph represent?

  The gradient represents 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
• If a cyclist travels 20 meters in 2 seconds, what is the speed?

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

  A flat line indicates that the object is stationary.
• What does a steeper line on a distance-time graph indicate?

  A steeper line indicates that the speed is increasing.
• What does a decreasing gradient on a distance-time graph indicate?

  A decreasing gradient indicates deceleration.
• How can you find the speed at a specific point on a curve in a distance-time graph?

  You need to draw a tangent to the curve at that point.
• What is a tangent in the context of a distance-time graph?

  A tangent is a straight line that has the same gradient as the curve at the point where they touch.
• How do you calculate the gradient of a tangent line?

  By dividing the change in distance by the change in time between two points on the tangent line.
• If the change in distance is around 12 meters and the change in time is 3 seconds, what is the speed?

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

  • Straight lines represent constant speeds.
  • Flat lines mean stationary.
  • Curved lines represent changing speeds.
• What should you do to calculate the speed at a point on a straight line?

  You calculate the gradient of the line by dividing the change in distance by the change in time.
• What should you do to calculate the speed at a point on a curve?

  You need to draw a tangent to the curve at that point and calculate the gradient of that tangent.
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