A car is travelling at night along a highway shaped like a parabola with its vertex at the origin of the co-ordinate system. The car starts at a point 200 m West and 200 m North of the origin and travels in easterly direction. There is an animal standing 200 m East and 100 m North of the origin. At what point on the highway will the car’s headlight illuminate the animal?

Answer

`X = 58.6 m; Y = 17.17 m`