Distance-time graphs

• What can the movement of objects be described using?

  Motion graphs and numerical values
• Why are motion graphs and numerical values used in vehicle design?

  They help in the design of faster and more efficient vehicles
• What does a horizontal line on a distance-time graph indicate?

  • The object is stationary (not moving)
• What does a sloping line on a distance-time graph indicate?

  • The object is moving
• How can the speed of an object be calculated from a distance-time graph?

  By calculating the gradient of the graph
• What is the definition of gradient on a graph?

  Change in 'y' value divided by change in 'x' value
• What does a greater gradient on a distance-time graph indicate?

  The object is moving faster
• Calculate the speed of the object represented by the green line in the graph from 0 to 4 s.

  $speed =$$\frac{8}{4} =$$2 \ m/s$
• What is the change in distance for the object represented by the purple line in the graph?

  10 m
• What is the change in time for the object represented by the purple line in the graph?

  2 s
• Calculate the speed of the object represented by the purple line in the graph.

  $speed =$$\frac{10}{2} =$$5 \ m/s$
• What are the key components of distance-time graphs?

  • Horizontal line: Object is stationary
  • Sloping line: Object is moving
  • Gradient: Speed of the object
• What is the relationship between speed and gradient on a distance-time graph?

  • Greater gradient = faster speed
  • Lesser gradient = slower speed