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Question

The velocity time graph of the motion of the body is shown in the figure. The total displacement travelled by the body during the motion is


A
12(AD+BE)×OC
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B
12(OA+BC)×OC
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C
12(OC+AB)×AD
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D
12(OA+AB)×BC
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Solution

The correct option is C 12(OC+AB)×AD
Since, the motion of the body is unidirectional, displacement of the body is the area of trapezium OABC
ar(OABC)=12(OC+AB)×AD

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