Q. No.Given below are two statements:
| Assertion (A): | Position-time graph of a stationary object is a straight line parallel to the time axis. |
| Reason (R): | For a stationary object, the position does not change with time. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
The graph below shows position as a function of time for two trains running on parallel tracks.
Which of the following statements is true?
| 1. | At time \(t_B \) both the trains have the same velocity |
| 2. | Both the trains have the same velocity at some time after \(t_B \) |
| 3. | Both the trains have the same velocity at some time before \(t_B \) |
| 4. | Both the trains have the same acceleration |
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)
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
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
The figure shows the velocity-time graph for a particle. What is the acceleration of the particle?
1.
2.
3.
4.
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)
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 \(v_{A}.\) |
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