Question

The displacement - time graph of a particle moving along a straight line is given below. Find average velocity between $t=2sec$ and $t=4sec$ :

• A. $-1$
• B. $-2$
• C. $-3$
• D. $1$

Answer 1

The correct option is A $-1$

If $y=x\left(t\right)$ be the position of a particle with respect time $t$, then the average velocity of the particle from $t=a$ to $t=b$ is given by, $v_{avg}=\frac{x\left(b\right)-x\left(a\right)}{b-a}$

Here, $a=2sec$ and $b=4sec$ ;

$x\left(a\right)=2,x\left(b\right)=0$

So, $v_{avg}=\frac{0-2}{4-2}=-1$