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Ants on Parabola Midpoint Speed

2050SpecialistCalculusCoordinate Geometry

Harvard-MIT Mathematics Tournament

Two ants, one starting at $(-1,1)$, the other at $(1,1)$, walk to the right along the parabola $y = x^{2}$ such that their midpoint moves along the line $y = 1$ with constant speed $1$. When the left ant first hits the line $y = \frac{1}{2}$, what is its speed?
0 students attempted0% solvedRating 2050

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