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 |
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. | \(|\frac{d \vec{v}}{d t}| \neq 0\) but \(\frac{d}{d t}|\vec{v}|=0.\) | It is possible to have a situation in which
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) |
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. |
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
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. |
Assertion (A): | The average velocity of the object over an interval of time is either smaller than or equal to the average speed of the object over the same interval. |
Reason (R): | Displacement is the shortest distance. |
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. |