The Distance-Time Relationship

• What does the distance-time relationship describe?

  How distance traveled relates to time
• How can the distance traveled by an object be represented?

  By a distance-time graph
• What type of line does an object moving at constant speed produce on a distance-time graph?

  A straight line
• What does an object with changing speed produce on a distance-time graph?

  A curve
• How can the speed of an object be calculated from a distance-time graph?

  From the gradient of the graph
• What are the characteristics of different speeds in distance-time graphs?

  • Steady speed: Straight line
  • Increasing speed: Curved line upward
  • Decreasing speed: Curved line downward
  • Stationary: Horizontal line
• How does the speed of an accelerating object change over time?

  It increases at any particular time
• How can the speed at a specific time be determined for an accelerating object?

  By drawing a tangent at that point
• What data is represented in the distance-time table provided?

  • Distance (m): 200, 180, 160, 140, 120, 100, 80, 60, 40, 20, 0
  • Time (s): 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
• If the distance at time 5 seconds is 100 m, what is the speed?

  $24 \text{ m/s}$
• What is the formula for calculating speed from distance and time?

  Speed = Distance / Time
• If an object travels 120 m in 5 seconds, what is its speed?

  $24 \text{ m/s}$