MathDB
Infinite pipe

Source: Iranian National Math Olympiad (Final exam) 2006

September 14, 2006
analytic geometryalgebrapolynomialalgebra proposed

Problem Statement

A liquid is moving in an infinite pipe. For each molecule if it is at point with coordinate xx then after tt seconds it will be at a point of p(t,x)p(t,x). Prove that if p(t,x)p(t,x) is a polynomial of t,xt,x then speed of all molecules are equal and constant.
Back to ProblemsView on AoPS