Two different positions are shown for distances s and s + ds along the curve.
Considering this is 50 times the acceleration of objects falling under gravity, I think it's fair to say if you tried this, you wouldn't be likely to make it around the corner! Centrifugal acceleration is a property of a circularly moving object, and it is directed outward to the circular path.
You experience this acceleration yourself when you turn a corner in your car.