Q. No.The velocity (\(v\)) versus time (\(t\)) plot of a particle is shown in the figure, for a time interval of \(40~\text{s}\). The total distance travelled by the particle and the average velocity during this period are, respectively:
1. \(25~\text{m} \) and zero
2. \(50~\text{m}\) and zero
3. \(100~\text{m}\) and zero
4. \(100 ~\text{m}\) and \(2.5~\text{m/s}~\)
1. \(25~\text{m} \) and zero
2. \(50~\text{m}\) and zero
3. \(100~\text{m}\) and zero
4. \(100 ~\text{m}\) and \(2.5~\text{m/s}~\)
Subtopic: Graphs |
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Level 1: 80%+
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The velocity \( (v)\) - Distance \((x)\) graph is shown in figure. Which graph represents \((a)\) versus distance \((x)\) variation of this system?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Graphs |
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The displacement \(x\) versus time graph is shown below.
Choose the correct answer from the options given below:
| \(\mathrm{A.}\) | The average velocity during \(0\) to \(3 ~\text{s}\) is \(10 \text{ m/s }\) |
| \(\mathrm{B.}\) | The average velocity during \(3\) to \(5 ~\text{s}\) is \(0 ~\text{m/s}\) |
| \(\mathrm{C.}\) | The instantaneous velocity at \(t=2 ~\text{s}\) is \(5 ~\text{m/s}\) |
| \(\mathrm{D.}\) | The average velocity during \(5\) to \(7 ~\text{s}\) and instantaneous velocity at \(t=6.5 ~\text{s}\) are equal |
| \(\mathrm{D.}\) | The average velocity from \(t=0\) to \(t=9 ~\text{s}\) is zero |
| 1. | \(\mathrm{A,D,E~\text{only}}\) | 2. | \(\mathrm{B,C,D~\text{only}}\) |
| 3. | \(\mathrm{B,C,E~\text{only}}\) | 4. | \(\mathrm{B,D,E~\text{only}}\) |
Subtopic: Graphs |
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Which of the following curves possibly represent one-dimensional motion of a particle?
Choose the correct answer from the options given below:
| \(\mathrm{A.}\) |  |
\(\mathrm{B.}\) |  |
| \(\mathrm{C.}\) |  |
\(\mathrm{D.}\) |  |
| 1. | \(\mathrm{A,B~\text{and}~C~\text{only}}\) | 2. | \(\mathrm{A,B~\text{and}~D~\text{only}}\) |
| 3. | \(\mathrm{A,C~\text{and}~D~\text{only}}\) | 4. | \(\mathrm{A,B~\text{only}}\) |
Subtopic: Graphs |
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The velocity-time graph of an object moving along a straight line is shown in figure. What is the distance covered by the object between \(t=0~\text{to}~t=4s?\)
1. \(30~\text m\)
2. \(13~\text m\)
3. \(11~\text m\)
4. \(10~\text m\)
1. \(30~\text m\)
2. \(13~\text m\)
3. \(11~\text m\)
4. \(10~\text m\)
Subtopic: Graphs |
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The graph shows the position-time \((x\text-t)\) relation for two students, \(\mathrm{A}\) and \(\mathrm{B}\) from school to their home.
Choose the correct entries:
| a. | \(\mathrm{A}\) is faster than \(\mathrm{B}\) |
| b. | \(\mathrm{B}\) is faster than \(\mathrm{A}\) |
| c. | \(\mathrm{B}\) lives further away than \(\mathrm{A}\) |
| d. | \(\mathrm{A}\) live further away than \(\mathrm{B}\) |
Choose the correct entries:
| 1. | (a), (d) |
| 2. | (b), (c) |
| 3. | (b), (d) |
| 4. | (a), (c) |
Subtopic: Graphs |
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Velocity of particle moving along a straight line is shown in figure. The distance and displacement travelled by the body is
1. \(250\text{ m}\) and \(150\text{ m}\)
2. \(250\text{ m}\) and \(250\text{ m}\)
3. \(150\text{ m}\) and \(150\text{ m}\)
4. \(50\text{ m}\) and \(150\text{ m}\)
1. \(250\text{ m}\) and \(150\text{ m}\)
2. \(250\text{ m}\) and \(250\text{ m}\)
3. \(150\text{ m}\) and \(150\text{ m}\)
4. \(50\text{ m}\) and \(150\text{ m}\)
Subtopic: Graphs |
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The position-time graph for a particle is parabolic (as shown in the figure).
Choose the corresponding \((v\text-t)\) graph.
Choose the corresponding \((v\text-t)\) graph.
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2. |  |
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4. |  |
Subtopic: Graphs |
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A bullet is shot vertically downwards with an initial velocity of \(100\) m/s from a certain height. Within \(10\) s, the bullet reaches the ground and instantaneously comes to rest due to a perfectly inelastic collision. The velocity-time curve for total time \(t=20 \) s is: (take \(g=10\) m/s2 )
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2. |  |
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4. |  |
Subtopic: Graphs |
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If the velocity-time graph has the shape \(AMB,\) what would be the shape of the corresponding acceleration-time graph?
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2. |  |
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4. |  |
Subtopic: Graphs |
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