Question

Given figure shows the displacement ($x$) - time ($t$) graph of a particle moving along the X-axis. From the graph it can be concluded that:

• A. the particle is at rest.
• B. the particle is continuously going along x-direction.
• C. the velocity of particle increases upto time $t_0$ and then becomes constant.
• D. the particle moves at a constant velocity up to a time $t_0$ and then stops.

Answer 1

The correct option is D the particle moves at a constant velocity up to a time $t_0$ and then stops.

The displacement-time graph is a straight line inclined to time axis upto time $t_0$, indicates a uniform velocity. After time $t_0$, the displacement-time graph is a straight line parallel to time axis indicates the particle is at rest.