Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem P. 4280. (October 2010)

P. 4280. On object is projected horizontally from a tower and it hits the ground 40 m from the foot of the tower at an angle of 45o. (Air-drag is negligible.) a) From what height is the object projected? b) From what height should the object be projected with the same initial horizontal speed, in order that the ratio of the horizontal and vertical displacements of the object should be the reciprocal of those of the former ones?

(4 pont)

Deadline expired on November 10, 2010.

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

Megoldás. A test 20 m magasról indult, 20 m/s kezdősebességgel.

Ha egy 320 m magas toronyból indulna ugyanakkora sebességel, akkor 8 s alatt érne földet, a torony aljától 160 m távolságra.

### Statistics:

 302 students sent a solution. 4 points: 245 students. 3 points: 14 students. 2 points: 26 students. 1 point: 1 student. 0 point: 9 students. Unfair, not evaluated: 7 solutions.

Problems in Physics of KöMaL, October 2010