Q. No.Two figures shown below exhibit position-time graphs for particles undergoing one-dimensional motion. In which of the following graph(s), the acceleration of the particle is zero?
1. Only graph (a)
2. Only graph (b)
3. Both graphs (a) & (b)
4. Neither graph (a) nor (b)
The figure shows the velocity-time graph for a particle. What is the acceleration of the particle?
1.
2.
3.
4.
The figure shows the velocity-time graph for a particle. Acceleration in the time interval t=0 to t=8s will be:
1. Constant
2. Variable and decreasing with time
3. Variable and increasing with time
4. Can't say
Figure shows x-t graph for a particle undergoing one-dimensional motion. What is the velocity of the particle at t=20 s?
1. 5 m/s
2. 10 m/s
3. Zero
4. 2 m/s
Pick the correct statements:
| a. | Average speed of a particle in a given time is never less than the magnitude of the average velocity. |
| b. | It is possible to have a situation in which \(|\frac{d \vec{v}}{d t}| \neq 0\) but \(\frac{d}{d t}|\vec{v}|=0.\) |
| c. | The average velocity of a particle is zero in a time interval. It is possible that the instantaneous velocity is never zero in the interval. |
| d. | The average velocity of a particle moving in a straight line is zero in a time interval. It is possible that the instantaneous velocity is never zero in the interval. (Infinite accelerations are not allowed) |
Choose the correct option:
| 1. | (a), (b) and (c) |
| 2. | (b), (c) and (d) |
| 3. | (a) and (b) |
| 4. | (b) and (c) |
Mark the correct statements for a particle going on a straight line:
| a. | if the velocity and acceleration have opposite sign, the object is slowing down. |
| b. | if the position and velocity have opposite sign, the particle is moving towards the origin. |
| c. | if the velocity is zero at an instant, the acceleration should also be zero at that instant. |
| d. | if the velocity is zero for a time interval, the acceleration is zero at any instant within the time interval. |
Choose the correct option:
| 1. | (a), (b) and (c) |
| 2. | (a), (b) and (d) |
| 3. | (b), (c) and (d) |
| 4. | all of these |
| 1. | velocity of B is more than the velocity of A. |
| 2. | velocity of A is more than the velocity of B. |
| 3. | magnitude of \(v_{AB}\) will be lower than the magnitude of \(v_{A}.\) |
| 4. | magnitude of \(v_{BA}\) will be lower than the magnitude of \(v_{A}.\) |
| 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. |
The variation of quantity A with quantity B is plotted in the given figure which describes the motion of a particle in a straight line.
Consider the following statements:
| a. | Quantity B may represent time. |
| b. | Quantity A is velocity if motion is uniform. |
| c. | Quantity A is displacement if motion is uniform. |
| d. | Quantity A is velocity if motion is uniformly accelerated. |
Select the correct option:
| 1. | (a, b, c) | 2. | (b, c, d) |
| 3. | (a, c, d) | 4. | (a, c) |
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. |
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