Question

The velocity-time graph of a linear motion is shown in Fig. The distance from the origin 0 after 8 seconds is :

• A. $18m$
• B. $16m$
• C. $8m$
• D. $6m$

Answer 1

The correct option is A $18m$

The total displacement in velocity-time graph is equal to the area under the graph from origin 0 after 8sec

$S=\frac{1}{2}\times 4\times (2+4)+\frac{1}{2}\times \left(2\right)\times (2+4)$

$S=12+6=18m$

The correct option is A.