In the given figure, `a=15m//s^(2)` represents the total acceleration of a particle moving in the clockwise direction in a circle of radius `R=2.5m` at a given instant of time. The speed of the particle is.

Options

A. `5.7m//s`
B. `6.2m//s`
C. `4.5m//s`
D. `5.0m//s`

Answer

A

Explanation

`acos30^(@)=a_(c)=(v^(2))/(R)`
implies `v^(2)=aRxx(sqrt(3))/(2)` implies `v^(2)=32.47` implies `v~=5.7m//s`