- 1(current)
Q. No.The velocity-time graph of a particle moving along a straight line is shown in the adjacent figure. The average velocity is:
| 1. | \(1~\text{ms}^{-1}\) | 2. | \(2~\text{ms}^{-1}\) m/s |
| 3. | less than \(1~\text{ms}^{-1}\) | 4. | greater than \(2~\text{ms}^{-1}\) |
Subtopic: Â Graphs |
Level 3: 35%-60%
Hints
Which of the following statements is true about the motion depicted in the diagram?
| 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. |
Subtopic: Â Graphs |
 65%
Level 2: 60%+
Hints
A particle moving along a straight line undergoes a displacement \((x),\) which is shown in the adjacent figure, as a function of time \((t).\) The distance travelled by the particle from \(t=0\) to \(t=6~\text s\) is:
1. \(2~\text m\)
2. \(3~\text m\)
3. \(4~\text m\)
4. \(0~\text m\)
1. \(2~\text m\)
2. \(3~\text m\)
3. \(4~\text m\)
4. \(0~\text m\)
Subtopic: Â Graphs |
 69%
Level 2: 60%+
Hints
The velocity \((v)\) and the displacement \((s) \) of a particle are related by the graph shown in the figure. The maximum magnitude of acceleration of the particle during the motion is:
| 1. | \(\dfrac{9}{4}~\text{m/s}^2\) | 2. | \(\dfrac{9}{2}~\text{m/s}^2 \) |
| 3. | \(9~\text{m/s}^2\) | 4. | \(36~\text{m/s}^2\) |
Subtopic: Â Graphs |
Level 3: 35%-60%
Hints
The velocity of a particle \((v)\) and the displacement \((s)\) are related to each other according to the given graph:
The initial velocity of the particle is:
The initial velocity of the particle is:
| 1. | \(27~\text{m/s}\) | 2. | \(3~\text{m/s}\) |
| 3. | \(8~\text{m/s}\) | 4. | \(\dfrac{27}{8}~\text{m/s}\) |
Subtopic: Â Graphs |
 68%
Level 2: 60%+
Hints
The velocity of a particle \((v)\) and the displacement \((s)\) are related to each other according to the given graph:
The magnitude of the initial acceleration of the particle is:
The magnitude of the initial acceleration of the particle is:
| 1. | \(\dfrac{27}{8}~\text{m/s}^2\) | 2. | \(\dfrac{9}{8}~\text{m/s}^2\) |
| 3. | \(\dfrac{3}{8}~\text{m/s}^2\) | 4. | zero |
Subtopic: Â Graphs |
Level 3: 35%-60%
Hints
The velocity of a particle \((v)\) and the displacement \((s)\) are related to each other according to the given graph:
The acceleration of the particle:
The acceleration of the particle:
| 1. | is positive and its magnitude increases with time |
| 2. | is negative and its magnitude increases with time |
| 3. | is positive and its magnitude decreases with time |
| 4. | is negative and its magnitude decreases with time |
Subtopic: Â Graphs |
Level 3: 35%-60%
Hints
- 1(current)
Q. No.
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