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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7

Graphical Representation of Motion - Displacement - Time Graph Or Distance - Time Graph

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Topics

  • Distance-time graph for uniform motion
  • Distance-time graph for non-uniform motion

Distance-Time Graph for Uniform Motion:

The table shows the distances covered by a car in fixed time intervals.

Time (seconds) Distance (metres)
0 0
10 15
20 30
30 45
40 60
50 75
60 90
70

105

To represent this data, we plot a graph with time on the X-axis and distance on the Y-axis.

Distance-time graph

The graph shows a straight line, which indicates uniform motion, meaning the car covers equal distances in equal time intervals. Uniform motion graphs are always straight lines, as the rate of change of distance with time remains constant.

Distance-Time Graph for Non-Uniform Motion;

The table shows the time intervals and corresponding distances covered by a bus.

Time (seconds) Distance (metres)
0 0
5 7
10 12
15 20
20 30
25 41
30 50
35 58

The time (seconds) is plotted on the X-axis, and the distance (meters) is plotted on the Y-axis. As time progresses, the distance increases, but not at a constant rate. The distance doesn't change uniformly with time, meaning the graph doesn't form a straight line.

Distance-time graph

The graph shows a curved line, indicating non-uniform motion. This type of motion occurs when the speed of the bus is not constant, causing the distance to change at different rates over time. Therefore, the graph does not show a direct proportionality between distance and time.

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Shaalaa.com | Motion part 10 (Graphical representation of motion)

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Motion part 10 (Graphical representation of motion) [00:08:32]
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