Problem M. 271. (September 2006)
M. 271. An inclined plane is placed to the table next to the edge of the table. Where does the ball, which rolls down the plane, hit the ground? (The angle of elevation of the plane can be varied.) Consider the following two cases:
a) the ball on the plane covers the same constant distance of l;
b) the ball on the plane starts at the same hight of h.
Find the angle at which the ball hits the ground at the furthest point.
Deadline expired on October 11, 2006.
44 students sent a solution. 6 points: Hasznos László, Kőrösi Márton, Láng Marcell, Mészáros 639 Ágnes, Meszéna Balázs, Pósa László. 5 points: Borák Balázs Sándor, Fialowski Melinda, Greksza Máté Attila, Gresits Iván, Majernyik Noel, Petrovszki 123 János, Székely Gergely, Szél Péter, Szerző 147 Péter. 4 points: 12 students. 3 points: 8 students. 2 points: 3 students. 1 point: 2 students. 0 point: 4 students.