Question

Velocity time graph of a particle in straight line motion is in shape of a semicircle of radius $R$ as shown in figure. Its average acceleration from $t=0$ to $t=R$ is

• A. $0{\text{m/s}}^2$
• B. $1{\text{m/s}}^2$
• C. $R{\text{m/s}}^2$
• D. $2R{\text{m/s}}^2$

Answer 1

The correct option is B $1{\text{m/s}}^2$

From the figure it is clear that
$u=0$
and $v=R$ (at $t=R$)
We know that average acceleration is given as
$a_{avg}=\frac{\Delta v}{\Delta t}=\frac{v-u}{t}=\frac{R-0}{R}=1{\text{m/s}}^2$