Question map
In the given velocity (V) versus time (t) graph, accelerated and decelerated motions are respectively represented by line segments
Explanation
In a velocity-time (v-t) graph, the slope of the line represents the acceleration of the object. A positive slope, where the line moves upward from left to right, indicates acceleration (increasing velocity). Conversely, a negative slope, where the line moves downward from left to right, indicates deceleration or negative acceleration (decreasing velocity). In the standard kinematic graph associated with this problem, segment AB shows a downward slope, representing deceleration as velocity decreases over time [1]. Segment BC is a horizontal line, representing uniform motion with constant speed and zero acceleration [1]. Segment CD shows an upward slope, representing accelerated motion as velocity increases. Therefore, accelerated and decelerated motions are respectively represented by segments CD and AB.
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