Concepts Of Physics MCQ Edition [Volume 1]PhysicsRest and Motion Kinematics
The displacement-time graph for a particle travelling along the X-axis is shown in the figure.
Options
- Athe particle continuously travels in the positive x direction
- Bthe particle travels at a constant velocity up to time t₀ , and subsequently stops
- Cthe particle remains at rest
- Dthe velocity increases up to time t₀ , and subsequently becomes constant
Correct answer
B. the particle travels at a constant velocity up to time t₀ , and subsequently stops
Step-by-step solution
The slope of a displacement-time ( x-t ) graph represents the velocity of the particle, v = dx dt . For the time interval 0 t t₀ , the graph is a straight line with a constant positive slope. This indicates that the particle is travelling at a constant positive velocity. For the time interval t > t₀ , the graph is a horizontal straight line. The slope of a horizontal line is zero, which means the velocity of the particle is zero. Therefore, the particle comes to rest (stops) after time t₀ . Thus, the particle trave