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. $\frac{1}{2}(AD+BE)\times OC$
• B. $\frac{1}{2}(OA+BC)\times OC$
• C. $\frac{1}{2}(OC+AB)\times AD$
• D. $\frac{1}{2}(OA+AB)\times BC$

Answer 1

The correct option is C $\frac{1}{2}(OC+AB)\times AD$

Since, the motion of the body is unidirectional, displacement of the body is the area of trapezium $OABC$
$\Rightarrow ar\left(OABC\right)=\frac{1}{2}(OC+AB)\times AD$