Question

A particle starts from the origin at time $t=0$ and moves along the positive $x-$ axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time $t=5s$?

• A. $3m$
• B. $9m$
• C. $6m$
• D. $10m$

Answer 1

The correct option is B $9m$

We know from
$\Delta s=\int vdt=$ area under curve
As particle start from origin.
$s=(\frac{1}{2}\times 2\times 2)+(2\times 2)+(1\times 3)$
$=2+4+3$
$=9m$

Final answer: (b).