When a particle's position changes, which of the following statements is true about its displacement and the distance it covers?
1. | Both cannot be zero. |
2. | Either one can be zero. |
3. | Both must be zero. |
4. | If one is positive, the other is negative, and vice-versa. |
A car moves with a speed of km/h for hour in the east direction and with the same speed for min in the south direction. The displacement of the car from the initial position is:
1. | km | 2. | km |
3. | km | 4. | km |
A particle moves along a path as shown in the figure. The magnitude of the displacement of the particle from to is:
1. m
2. m
3. m
4. m
A drunkard walking in a narrow lane takes steps forward and steps backward, followed again by steps forward and steps backward, and so on. Each step is m long and requires s. There is a pit on the road m away from the starting point. The drunkard will fall into the pit after:
1. s
2. s
3. s
4. s
The figure shows the displacement-time graph of a particle moving on the x-axis. Then,
1. | the particle is continuously going in a positive x-direction. |
2. | the particle is at rest. |
3. | the velocity increases up to a time , and then becomes constant. |
4. | the particle moves at a constant velocity up to a time , and then stops. |
The figure gives the plot of a particle in a one-dimensional motion. Three different equal intervals of time are shown. The signs of average velocity for each of the intervals and respectively are:
1. | 2. | ||
3. | 4. |
If a body travels some distance in a given time interval, then for that time interval, its:
1. | Average speed ≥ |Average velocity| |
2. | |Average velocity| ≥ Average speed |
3. | Average speed < |Average velocity| |
4. | |Average velocity| must be equal to average speed. |
A car moves from to with a uniform speed and returns to with a uniform speed The average speed for this round trip is:
1. | 2. | ||
3. | 4. |
The position of an object moving along the axis is given by, , where and is measured in seconds. Its velocity at will be:
1.
2.
3.
4.