What is the quantity which is measured by the area occupied below the velocity-time graph?

Asked by Vishal kumar | 1 year ago |  282

1 Answer

Solution :-

Considering an object in uniform motion, its velocity-time graph can be represented as follows.

Now, the area below the velocity-time graph is the area of the rectangle OABC, which is given by

OA*OC. But OA is the velocity of the object and OC represents time. Therefore, the shaded area can be represented as:

Area under the velocity-time graph = velocity*time.

Substituting the value of velocity as \( \frac{displacement}{time}\) in the previous equation, it is found that the area under the velocity-time graph represents the total displacement of the object.

Answered by Shivani Kumari | 1 year ago

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