Snow plow problem: a new approach - modeling and visualization

The snow plow problem, usually atributed to R. P. Agnew is a classic introductory problem in the textbooks of ordinary differential equations. It has several variants, including The great snow plow chase problem by M. S. Klamkin. After investigating the problems, the paper discusses some shortcomings of the classical model and proposes different approaches. The software package Wolfram Mathematica is used for the visualization, verification and generalization of the results.