Question

A car moves around a bend of radius 20m with an acceleration of 12ms^-2. What is the maximum speed the car can attain without skidding?

Answer 1

The cenripetal acceleration

$$a=\frac{v^2}{r}$$

Hence, the speed of the car

$$v=\sqrt{ar}=\sqrt{12*20}=15.5\:\rm m/s$$