Car Traveling at Night
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?
This Demonstration illustrates problem 6, p. 267 in J. Stewart, Calculus: Early Transcendentals, 6th ed., Belmont, CA: Thomson Brooks/Cole, 2008.