Distance Time Graph For Non-Uniform Motion
Distance Time Graph For Non-Uniform Motion
If a body travels unequal distances in equal intervals of time , then the motion of the body is known as non-uniform motion. Non - uniform motion is of two types such as:
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(a) When the speed of the body increases with passage of time, then the distance-time graph will be a curve with positive slope as shown alongside: From the graph, we can see that in equal intervals of time of two seconds, the body is covering unequal distances and this distance goes on increasing. That means, with the passage of time, the body is covering more and more distance in equal time, i.e. the speed of the body is increasing. |
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(b) When the speed of the body decreases with passage of time, then the distance-time graph will be a curve with negative slope as shown below: Interpretation: From the graph, it is clear that in equal intervals of time of one second, the body is covering unequal distances and this distance goes on decreasing. This means, with the passage of time, the body is covering lesser and lesser distance in equal time, i.e. the speed of the body is decreasing . The slope of a distance-time graph represents speed, while displacement-time graph represents velocity. For object at rest, slope = 0 |
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In the graph we have three curves A , B, C The graph A represents non-uniform motion of an object that is covering unequal distance in equal interval of time The graph B represents the uniform motion of an object. the object is traveling at a speed of 8m/s The graph C represents the uniform motion of an object. the object is traveling at a speed of 2m/sSlope of B > Slope of C. So, we can say that the object whose motion is represented by graph B is moving at a speed greater than the speed of the object whose motion is represented by graph B. |
Slope of A > Slope of B. So, A is faster than B.
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