Mathematical and Physical Journal
for High Schools
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Problem P. 4225. (February 2010)

P. 4225. Two balls are started at the same time, one of them starts from rest at the top of the inclined plane, the angle of inclination is \alpha, and the other is projected from point O, and they reach point P at the same time. At what angle does the second ball have to be projected?

(4 pont)

Deadline expired on March 10, 2010.


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

Megoldás. A vízszinteshez képest \(\displaystyle \beta\) szöggel, melyre \(\displaystyle \tg\beta=\frac{2}{\sin2\alpha}\).


Statistics:

134 students sent a solution.
4 points:107 students.
3 points:17 students.
2 points:7 students.
1 point:1 student.
0 point:1 student.
Unfair, not evaluated:1 solutions.

Problems in Physics of KöMaL, February 2010