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| Distance-Time Graph for Non - Uniform Motion |
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| Now, let us see the nature of distance-time graph for a non-uniform motion. The following table gives the distance covered by a bus after every 15 minutes. |
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| From the above table we can conclude that the motion is non-uniform i.e., it covers unequal distances in equal intervals of time. |
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 Take time along x-axis and distance along y-axis. |
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 Analyse the given data and make a proper choice of scale for time and distance. |
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 Plot the points. |
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 Join the points. |
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 Consider any two points (A, B) on the graph. |
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 Draw perpendicular from A to B to x and y axes. |
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 Join A to C to get a right angled ACB. |
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 Write the title and scale chosen for the graph. |
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 Consider another two points P and Q on the graph and construct a right angled triangle PRQ. |
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| We can infer that speed is not uniform. |
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| Complete Graph |
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| Nature of S- t Graph for Non- Uniform Motion and Uses of Graphs |
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| Let us now see the nature of S-t graph for non-uniform motion. |
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| Nature of s-t Graph for Non-uniform Motion |
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| Fig (a) represents the S-t graph when the speed of a moving object increases and Fig (b) represents the S-t graph when the speed of a moving object decreases. |
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| From the nature of S-t graph we can conclude whether the object is moving with uniform speed or variable speed. |
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 Graphical representation is more informative than tables as it gives a visual representation of two quantities (e.g., distance vs. time) |
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 At a glance a graph gives more information than a table. Both the graphs shown here represent the increasing speed |
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| Fig (1) gives us an idea of nature of variation of speed i.e., increase is greater in the beginning up to time t1 and relatively lower after t2. |
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| Similarly, fig (2) gives an idea that the increase in the speed becomes greater after t1. Similar explanation holds good for the decreasing speed also. |
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 Graphs can be easily read at a glance |
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 Plotting graphs takes less time and is more convenient |
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 With graphs, the position of any moving object at any intermediate point of time can be determined |
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 Motion of two moving objects can be easily compared |
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 Graphs tell us about the nature of motion |
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