A car is traveling at night along a highway shaped like a parabola with its vertex at the origin. The car starts at a position 100 m west and 100 m north of the origin and travels in an easterly direction. There is a statue located 100 m east and 50 m north of the origin. At what point on the highway will the car's headlights (or tail lights) illuminate the statue?

Contributed by: Edda Eich-Soellner (University of Applied Sciences, Munich, Germany)