The velocity of a body of mass 2 kg moving in circle of radius 3 m at any time is 3 m//s. If its speed is increasing at the rate of `4 m//s^(2)` then the net acceleration on the body is :

Options

A. `4 m//s^(2)`
B. `3 m//s^(2)`
C. `7 m//s^(2)`
D. `5 m//s^(2)`

Answer

d

Explanation

Centripetal acceleration, `a_(c)=(upsilon^(2))/(r)=((3)^(2))/(3)=3m//s^(2)`
Tangential acceleration, `a_(t) = 4 m/s^(2)`

:.net acceleration, `a = sqrt(a_(c)^(2) + a_(t)^(2))= sqrt((3)^(2)+ (4)^(2))`
`= 5 m//s^(2)`
Hence the correct choice is (d)