Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem P. 4196. (November 2009)

P. 4196. A hard sheet making an angle of 45o with the horizontal is placed below a falling marble. The marble falls from a height of 2 metres and collides totally elastically with the hard sheet. Where must the sheet be placed in order to make

a) the horizontal distance covered by the marble until it hits the ground the greatest;

b) the time until the marble hits the ground the greatest?

(4 pont)

Deadline expired on December 10, 2009.

Sorry, the solution is available only in Hungarian. Google translation

Megoldás. $\displaystyle a)$ 1 méter magasra.

$\displaystyle b)$ 1 méter magasra.

### Statistics:

 198 students sent a solution. 4 points: 154 students. 3 points: 9 students. 2 points: 12 students. 1 point: 4 students. 0 point: 3 students. Unfair, not evaluated: 16 solutions.

Problems in Physics of KöMaL, November 2009