A rally car in cross country race is travelling, at night, along a section of the track that is in the shape of a parabola. The function can be modelled by y = ax^2, where a = 0.14.

The car starts at a point 100m west and 100m north of the apex of the corner; it travels in an easterly direction with its headlights on.

There is a road sign situated at 5m east of the apex of the corner and 4m north of this point.

At what point on the track will the cars headlights illuminate the road sign?

Been stuck for ages with no luck.

The car starts at a point 100m west and 100m north of the apex of the corner; it travels in an easterly direction with its headlights on.

There is a road sign situated at 5m east of the apex of the corner and 4m north of this point.

At what point on the track will the cars headlights illuminate the road sign?

Been stuck for ages with no luck.

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