# Cars around a bend#

Two cars travel at constant speeds around a curve as shown below. The front end of both cars crosses line $$C$$ at the same time and each driver minimizes their time in the curve. The maximum centripetal acceleration for car A is $${{params.max_acc_A}}g$$ with $$R\_{A} = {{params.ra}}$$ $$\rm{m}$$ and for car B is $${{params.max_acc_B}}g$$ with $$R\_{B} = {{params.rb}}$$ $$\rm{m}$$, where $$g$$ is the gravitational constant. The angle $$\theta = {{params.angle}}^{\circ}$$.

## Question Text#

Determine the distance $$S$$ that the second car has yet to travel to reach line $$D$$ when the first car reaches line $$D$$.

Please enter in a numeric value in $$m{m}$$.