In one second, a particle goes from point A to point B moving in a semicircle (Fig). Find the magnitude of the average velocity.

Options

A. `3 m//s`
B. `2 m//s`
C. `1 m//s`
D. `2.5 m//s`

Answer

B

Explanation

Give, t = 1 s and radius `R = 1.0 m`.
The shortest distance between the final position (B) and initial position A is AB, which is the displacement of the particle.
`thereofre` Total displacement `(AB) = 2R=2xx1.0 m`.
`therefore` Average velocity `|v_(av)|=("Total displacement")/("Total time taken")`
`=(AB)/(Delta t)=(2.0)/(1.0)ms^(-1)=2 ms^(-1)`