Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem P. 4809. (February 2016)

P. 4809. The inhabitants of an Indian camp are shooting similar arrows into a wide wooden plank. Brainy Bear states that the red arrow penetrated twice as deeply into the plank as the blue arrow. He assumes that the resistive force exerted on the arrow is proportional to the depth of penetration. Thus he can answer to many different questions such as:

$\displaystyle a)$ By what factor was the speed of the red arrow at the impact greater than that of the blue one?

$\displaystyle b)$ Which arrow, the red or the blue one, had a longer braking time?

(4 pont)

Deadline expired on March 10, 2016.

### Statistics:

 61 students sent a solution. 4 points: Asztalos Bogdán, Balogh Menyhért, Blum Balázs, Büki Máté, Csenger Géza, Csire Roland, Csuha Boglárka, Di Giovanni András, Elek Péter, Fajszi Bulcsú, Farkas Domonkos, Fehér 169 Szilveszter, Forrai Botond, Gémes Antal, Hornák Bence, Horváth 914 Bálint, Iván Balázs, Jakus Balázs István, Kasza Bence, Kormányos Hanna Rebeka, Kovács Péter Tamás, Körmöczi Dávid, Krasznai Anna, Mándoki László, Nagy 555 Botond, Németh 777 Róbert, Németh Flóra Boróka, Pázmán Előd, Sal Kristóf, Simon Dániel Gábor, Szántó Benedek, Szentivánszki Soma , Tomcsányi Gergely. 3 points: Bartók Imre, Berke Martin, Csorba Benjámin, Debreczeni Tibor. 2 points: 16 students. 1 point: 5 students. 0 point: 3 students.

Problems in Physics of KöMaL, February 2016