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प्रश्न
State how the velocity-time graph can be used to find The distance travelled by the body in a given time
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उत्तर
The total distance travelled by a body in a given time is given by the area enclosed between the velocity-time graph and X-axis (without any sign).
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संबंधित प्रश्न
Under what conditions can a body travel a certain distance and yet its resultant displacement be zero ?
Is displacement a scalar quantity?
A body is moving in a straight line and its displacement at various instants of time is given in the following table
| Time (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Displacement (m) | 2 | 6 | 12 | 12 | 12 | 18 | 22 | 24 |
Plot the displacement-time graph and calculate
(i) Total distance travelled in the interval 1 s to 5 s.
(ii) Average velocity in time interval 1 s to 5 s.
Write an expression for the distance S covered in time t by a body which is initially at rest and starts moving with a constant acceleration a.
A body is moving along a circular path of radius r. What will be the distance and displacement of the body when it completes:
Half a revolution
A body is moving along a circular path of radius r. What will be the distance and displacement of the body when it completes:
Full revolution
A 50 m long train passes over a bridge at a speed of 30 km/h. If it takes 36 seconds to cross the bridge, calculate the length of the bridge.
An object is dropped from rest at a height of 150 m and simultaneously another object is dropped from rest at a height of 100 m. What is the difference in their heights after 2s if both the objects drop with the same accelerations? How does the difference in heights vary with time?
Using the following data, draw time - displacement graph for a moving object:
| Time (s) | 0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 |
| Displacement (m) | 0 | 2 | 4 | 4 | 4 | 6 | 4 | 2 | 0 |
Use this graph to find average velocity for the first 4 s, for the next 4 s and for the last 6 s.
A man leaves his house at 6.30 a.m. for a morning walk and returns back at 7.30 a.m. after covering 4 km. The Displacement covered by him is ______.
