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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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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 |
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