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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
The numerical ratio of displacement to distance for a moving object is :
Figure given below shows a velocity-time graph for a car starting from rest. The graph has three parts AB, BC and CD.
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Define Displacement.
Draw displacement – time graph for the following situation:
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From the displacement – time graph shown given below calculate:
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- Displacement from the initial position at the end of 13 s.
- Time after which the body is at the initial position,
- Average velocity after 8 s.
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Distinguish distance and displacement.
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?
Distance is a ______ quantity.
