A particle is moving in a circle of a radius 40 cm has a linear speed of `30m//s` at a certains intant its linear speed is increasesing at the rate of `4m//s^(2)`. Increasing at the instant will be

Options

A. `200m//s^(3)`
B. `600m//s^(3)`
C. `100m//s^(2)`
D. `300m//s^(3)`

Answer

B

Explanation

`(d)/(dt)(v^(2)/(v))=(2v)/(r)(dv)/(dt)`
`=(2xx30xx4)/(0.4)=600m//s^(3)`