Question

The velocity-time graph of a body moving in a straight line is shown. The displacement of the body in 10s is ?

• A. $4m$
• B. $6m$
• C. $8m$
• D. $10m$

Answer 1

Answer: (C)

$8m$

The displacement of the body in $10sec$ is area under the velocity-time graph

For $t=0secto8sec$

$s_1=\frac{1}{2}\times 4\times 2+\frac{1}{2}\times 2\times 2+\frac{1}{2}\times 2\times 2$

$S=4+2+2=8m$

For $t=8sec$ to $t=10sec$

$s_2=0$

Total displacement is $8m$.

The correct option is C.