The figure given below shows the displacement and time, \((x\text -t)\) graph of a particle moving along a straight line:
The correct statement, about the motion of the particle, is:
| 1. | the particle moves at a constant velocity up to a time \(t_0\) and then stops. |
| 2. | the particle is accelerated throughout its motion. |
| 3. | the particle is accelerated continuously for time \(t_0\) then moves with constant velocity. |
| 4. | the particle is at rest. |

Which one of the following displacement-time graph represents two moving objects \(P\) and \(Q\) with zero relative velocity?
| 1. | ![]() |
2. | ![]() |
| 3. | ![]() |
4. | ![]() |
The position (\(x\)) of a particle in a straight line motion is given by \(x = 2 + 10 t - 5 t^{2}~\text{m}\). Its velocity (\(v\)) is best represented by?
| 1. | ![]() |
2. | ![]() |
| 3. | ![]() |
4. | ![]() |
| 1. | 2. | ||
| 3. | 4. |
| 1. | ![]() |
2. | ![]() |
| 3. | ![]() |
4. | ![]() |
Which of the following position-time \((x\text-t)\) graphs may be possible corresponding to given velocity-time \((v\text-t)\) graph?
| 1. | |
2. | |
| 3. | |
4. | |
| 1. | The acceleration is constant and non-zero. |
| 2. | The velocity changes suddenly during the motion. |
| 3. | The velocity is positive throughout. |
| 4. | All of the above are true. |