Question

A particle moves along a semicircle of radius $5\text{m}$ in $2$ seconds. The magnitude of average velocity of the particle is

• A. $5\pi \text{m/s}$
• B. $3\text{m/s}$
• C. $5\text{m/s}$
• D. $2\pi \text{m/s}$

Answer 1

The correct option is C $5\text{m/s}$

Average velocity of particle = $\frac{\text{Total displacement}}{\text{Total time}}$
As the particle is moving along a semicircle, so
Displacement of particle = Diameter of the circle
$\Rightarrow$ Average velocity of particle = $\frac{\text{Diameter of circle}}{t}=\frac{2\times 5}{2}=5\text{m/s}$