## Distance-Time Graphs

 7.1 Distance-Time Graphs

• Speed is a rate which involves distance ad time.
• The relationship between speed and time can be represented by a distance-time graph.
• A distance-time graph enables the motion of an object to be represented in the graphic form which is easy to be understood

 In a distance-time graph the vertical axis represents the distance the horizontal axis represents the time the gradient of the graph represents the rate of change in distance with respect to time, that is speed

A distance-time graph can be drawn if the following information regarding the motion is obtained

• Distance-time table

• Equation that represents the relationship between distance and time

 Example Diagram shows a motion from $$O$$ to $$C$$ for a distance in kilometres in a period of $$T$$, hours. $$OA$$ positive gradient of graph  gradient of $$OA$$ represents speed of motion  motion at a uniform speed motion for a distance (kilometres) in a period of time, hours $$AB$$ zero gradient  no change in distance in a period of time  stationary for the period of times $$BC$$ positive gradient  motion continues to $$C$$

## Distance-Time Graphs

 7.1 Distance-Time Graphs

• Speed is a rate which involves distance ad time.
• The relationship between speed and time can be represented by a distance-time graph.
• A distance-time graph enables the motion of an object to be represented in the graphic form which is easy to be understood

 In a distance-time graph the vertical axis represents the distance the horizontal axis represents the time the gradient of the graph represents the rate of change in distance with respect to time, that is speed

A distance-time graph can be drawn if the following information regarding the motion is obtained

• Distance-time table

• Equation that represents the relationship between distance and time

 Example Diagram shows a motion from $$O$$ to $$C$$ for a distance in kilometres in a period of $$T$$, hours. $$OA$$ positive gradient of graph  gradient of $$OA$$ represents speed of motion  motion at a uniform speed motion for a distance (kilometres) in a period of time, hours $$AB$$ zero gradient  no change in distance in a period of time  stationary for the period of times $$BC$$ positive gradient  motion continues to $$C$$