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प्रश्न
How can you find the following?
Displacement from velocity – time graph.
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उत्तर
Displacement from velocity – time graph: Displacement covered by a body is equal to the area under velocity – time graph. When an object moves with a uniform velocity, the velocity – time graph is a straight line (PQ) parallel to the time axis.
Take any two points A and B on velocity – time graph.
From A and B, draw two perpendiculars AD and BC on the time axis such that
OD = t1 and OC = t2
Let OP = AD = BC = v = Velocity of the body.
Area under velocity – time graph = Area of rectangle ABCD
= AD × DC = v × (OC − OD) = v (t2 − t1)
= Displacement covered by the body
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संबंधित प्रश्न
Fill in the following blank with suitable word :
Displacement is a…………………… quantity whereas distance is a………………………….
The displacement of a moving object in a given interval of time is zero. Would the distance travelled by the object also be zero ? Give reason for your answer.
What is the difference between distance travelled by a body and its displacement ? Explain with the
help of a diagram.
A particle is moving in a circular path of radius r. The displacement after half a circle would be :
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.
Can you suggest the kind of motion of a body from the following distance – time graph?
Write the SI units for measurement of distance and displacement.
Write two differences between distance and displacement.
Ashok starts from his house and travels 3 km to reach his school. On finding the school gates closed, he returns to his house. What is?
The distance traveled by Ashok.
State whether true or false. If false, correct the statement.
Distance covered by a particle never becomes zero but displacement becomes zero.
