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प्रश्न
Exercise Problems.
An athlete completes one round of a circular track of diameter 200 m in 40 s. What will be the distance covered and the displacement at the end of 2 m and 20 s?
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उत्तर
Given: Diameter of circular track = 200m
time to complete = 40s
Formula: Circumference of circular track = d. π m
speed = `"distance"/"time"`
Solution:
Circumference of the track = d.π
= 200 × 3.14 = 628m
speed = `"628m"/"40s"` = 15.7 ms– 1
Distance covered in 2 min 20 s = speed × time
In the given time athlete covers 31/2 rounds = 2198m
The final position of athlete is as shown in figure (A – initial position, B – final position)
∴ Displacement = Distance × time
= 200 m
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संबंधित प्रश्न
An athlete completes one round of a circular track of diameter 200 m in 40 s. What will be the distance covered and the displacement at the end of 2 minutes 20 s?
What can you say about the nature of motion of a body if its displacement-time graph is A straight line parallel to the time axis?
Give an example of a body which covers a certain distance, but its displacement is zero.
Give the name of the physical quantity that corresponds to the rate of change of displacement.
The table below shows the distance travelled by two vehicles A and B during each second:
| Time (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Distance travelled by A (m) | 0 | 20 | 80 | 180 | 240 | 300 | 360 | 420 |
| Distance travelled by B (m) | 0 | 10 | 40 | 90 | 160 | 250 | 360 | 490 |
Which vehicle is moving with a constant acceleration?
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 |
In which of the following cases of motions, the distance moved and the magnitude of displacement are equal?
If the displacement-time graph of a particle is parallel to the time axis, the velocity of the particle is ______.
Displacement is the ______ distance covered by a body.
Displacement can be zero but distance never.
