Answer
The car moves a distance of $~~70.7~m~~$ during braking.
Work Step by Step
We can find the distance the car moves during braking:
$x = \theta~R$
$x = (2\pi)(30.0)(0.375~m)$
$x = 70.7~m$
The car moves a distance of $~~70.7~m~~$ during braking.