Question map
The distance-time graph for an object is shown above. Which one of the following statements holds true for this object ?
Explanation
A distance-time graph represents the motion of an object by plotting distance on the vertical axis and time on the horizontal axis. The slope or gradient of the line on such a graph represents the speed of the object. When the graph is a straight line starting from the origin or having a constant gradient, it indicates that the object is covering equal distances in equal intervals of time [1]. This characteristic defines uniform linear motion, where the object moves at a constant speed [2]. A horizontal line would indicate the object is at rest, while a curved line would represent non-uniform speed or acceleration. Therefore, a straight-line distance-time graph with a constant positive slope confirms that the object is moving with uniform speed.
Sources
- [1] Science-Class VII . NCERT(Revised ed 2025) > Chapter 8: Measurement of Time and Motion > 8.4 Uniform and Non-uniform Linear Motion > p. 117
- [2] Science-Class VII . NCERT(Revised ed 2025) > Chapter 8: Measurement of Time and Motion > In a Nutshell > p. 118