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प्रश्न
The displacement of a moving object in a given interval of time is zero. Would the distance travelled by the object also be zero? Justify your answer.
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उत्तर
In a given interval of time, the displacement of a moving object is zero when its final position is the same as the initial position, whereas the distance travelled by the object is not zero. For example, an athlete moving on a circular track. If he starts from A and completes one round and reaches back to point A, his displacement is zero whereas the distance travelled by him is not zero but 2πr.
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संबंधित प्रश्न
Can displacement be zero even if the distance is not zero? Give one example to explain your answer.
Figure shows the velocity-time graph of a particle moving in a straight line.
(i) State the nature of motion of particle.
(ii) Find the displacement of particle at t = 6 s.
(iii) Does the particle change its direction of motion?
(iv) Compare the distance travelled by the particle from 0 to 4 s and from 4 s to 6 s.
(v) Find the acceleration from 0 to 4 s and retardation from 4 s to 6 s.
A car starting from rest accelerates uniformly to acquire a speed 20 km h-1 in 30 min. The distance travelled by a car in this time interval will be _____________
Give the name of the physical quantity that corresponds to the rate of change of displacement.
A car travels at a uniform speed of 42 km/h. In 10 minutes, how much distance would it cover?
The shortest distance between two places is ______.
Fill in the boxes.
| S.No | First Move | Seconde Move | Distance (m) | Displacement |
| 1. | Move 4 metres east | Move 2 metres west | 6 | 2 m east |
| 2. | Move 4 metres north | Move 2 metres south | ||
| 3. | Move 2 metres east | Move 4 metres west | ||
| 4. | Move 5 metres east | Move 5 metres west | ||
| 5. | Move 5 metres south | Move 2 metres north | ||
| 6. | Move 10 metres west | Move 3 metres east |
Give one example where the displacement is zero but the distance travelled is not zero.
A car starts from rest and moves along the x-axis with constant acceleration 5 ms–2 for 8 seconds. If it then continues with constant velocity, what distance will the car cover in 12 seconds since it started from the rest?
Displacement magnitude can be greater than the distance traveled by the object.
