A car is moving with speed `30m//sec` on a circular path of radius 500 m . Its speed is increasing at the rate of , `2m//sec^(2)`, What is the acceleration of the car

Options

A. `2 ms^(-2)`
B. `2.7ms^(-2)`
C. `1.82 ms^(-2)`
D. `9.82ms^(-2)`

Answer

B

Explanation

Net acceleration in non-uniform circular motion,
`a=sqrt(a_(t)^(2)+a_(c)^(2))`
`=sqrt((2)^(2)+[(900)/(500)]^(2))=2.7 ms^(-2) `