Problem P. 4111. (November 2008)
P. 4111. The wheel of a tractor is moving at a velocity of v. The diameter of the wheel is D. From any point of the rim of the wheel pieces of mud can flake off. What is the longest time during which a piece of mud may reach the ground? At what position does the piece of mud which falls in the longest time is released from the wheel?
Deadline expired on December 11, 2008.
52 students sent a solution. 5 points: Boros Csanád Örs, Budai Ádám, Deák Zsolt, Emroz Khan, Farkas Márton, Filep Tibor, Hartstein Máté, Iván Dávid, Marák Károly, Szabó 895 Dávid, Wang Daqian. 3 points: 2 students. 2 points: 14 students. 1 point: 3 students. 0 point: 20 students. Unfair, not evaluated: 2 solutions.