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प्रश्न
The graph shows how the velocity of a scooter varies with time in 50 s.
Work out: The distance traveled in 10 s, 20 s, and 50 s.
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उत्तर
The distance travelled in 10 sec is S1 = `1/2`x20 x10 = 100 m
Distance travelled in 10s to 30s is s2 = 20 x (30 - 10) = 20 x 20 = 400 m Distance travelled in 30 s to 5os is S3 = `1/2` x20 x(50 - 30) = 200m.
Total distance covered by scooter is = 100 m + 400m + 200m =700m.
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संबंधित प्रश्न
State how the velocity-time graph can be used to find The distance travelled by the body in a given time
What can you say about the nature of motion of a body if its displacement-time graph is A curve.
Draw a velocity-time graph for a body moving with an initial velocity u and uniform acceleration a. Use this graph to find the distance travelled by the body in time t.
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.
Define displacement.
Is distance covered during nth second more than the distance covered in n seconds?
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 |
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?
A body is projected up with an initial velocity of u m/s. It goes up to a height, ‘h’ meters in seconds' time. Then it comes back at the point of projection.
Considering negligible air resistance, which of the following statement is true?
Distance travelled by a freely falling body is proportional to ______.
