Assertion (A): | If 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. |
Reason (R): | If the average velocity of a particle moving on a straight line is zero in a time interval then at least for one moment the instantaneous velocity will also be zero in the interval. |
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. |
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. |
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) |