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Question

Area under the curve of a velocity-time graph is equal to

A
Acceleration
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B
Average velocity
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C
Displacement
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D
Speed
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Solution

The correct option is C Displacement
Consider an example of the velocity-time graph of a body moving with uniform velocity.
C:\Users\AEPL\Downloads\3-3.png
Area under v - t curve = Area of rectangle OABC
= OA × OC = v × t
The product of velocity and time gives us displacement.
Therefore, the area under v - t graph gives displacement.
Hence, the correct answer is option (c).

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