A motor car is travelling at 30 ms on a circular curve of radius 500 m. It is increasing its speed at the rate of 2 `ms^(-2)`, what is its acceleration ?

Options

A. `2ms^(-2)`
B. `1.8ms^(-2)`
C. `2.7ms^(-2)`
D. None of these

Answer

C

Explanation

Here the body has two accelation at any instant. The centripetal accelation
`a_(c)=(v^(2))/(r )=((30)^(2))/(500)=1.8ms^(_2)` net acceleration `a=sqrt(a_(c)^(2)+a_(1)^(2))=sqrt((2)^(2)+(1.8)^(2))` =2.7m`s^(-2)`