Question

Find the displacement of a particle in time $0$ to $10\text{s}$ whose velocity versus time graph is shown below.

• A. $80\text{m}$
• B. $30\text{m}$
• C. $40\text{m}$
• D. $50\text{m}$

Answer 1

The correct option is D $50\text{m}$

We know, Area under $v-t$ graph $=$Displacement.
According to question:-


Area of Trapezium $OABC$ $=$ Displacement ($S$)
$\Rightarrow S=\frac{1}{2}\times (OA+BC)\times OC$
$\Rightarrow S=\frac{1}{2}\times 10\times 10$
$\Rightarrow S=50\text{m}$
The displacement of the particle in $10\text{s}$ is $50\text{m}$.