Distance - Time Graph

• What does a line graph show in this context?

  Distance versus time
• What does the slope of a distance-time graph represent?

  Speed of the object
• How can you calculate the slope of a distance-time graph?

  • Use the formula:

  $Slope =$$\frac{∆y}{∆x} =$$\frac{y₂-y₁}{x₂-x₁}$

  • Represents speed as:

  $Slope =$$\frac{distance}{elapsed~time}$
• If a bus travels 5 meters every second, what is its speed?

  5 m/s
• How do you calculate the slope between two points on the graph?

  By using the formula $Slope =$$\frac{∆y}{∆x}$
• What is the slope calculated between the points (1s, 5m) and (3s, 15m)?

  10 m/s
• What data is represented in the table provided?

  • Distance in meters
  • Corresponding time in seconds
• What is the distance traveled by the bus at 5 seconds?

  25 meters
• What is the time taken to travel 15 meters?

  3 seconds
• What is the time taken to travel 10 meters?

  2 seconds
• What is the time taken to travel 0 meters?

  0 seconds
• What is the time taken to travel 20 meters?

  4 seconds
• What is the time taken to travel 25 meters?

  5 seconds
• How does the speedometer relate to the bus driver's observations?

  It indicates the constant speed of the bus