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010 show that area enclosed by velocity time graph gives the distance moved by the body
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Answer:
Distance covered by body.
Explanation:
We know that
Velocity of body is given as
Velocity = Displacement / time
⇒ Displacement = velocity × time .......(1)
Now
In the velocity time graph the velocity is taken at y-axis and time is taken at time
See in the graph below the graph show the constant velocity and graph show the rectangle.
So
The area under the graph = velocity × time ......(2)
From equation (1) and (2)
The area under the graph = Displacement = Distance
Thus
Area under the velocity-time graph gives the distance covered by body.
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