ANALYTICAL SOLUTION OF THREE IDENTICAL TASKS FOR A MEETING

Published 2024-07-04
PHYSICS-MATHEMATICS Vol. 67 No. 1 (2022)
№1 (2022)
Authors:
  • SPIVAK-LAVROV I.F.
  • KENZHEGARIN A.A.
  • ZHUBANAZAROV S.E.
  • SARSENBAYEV B.O.
PDF (Russian)

In this work, an analytical solution of the well-known problem of ferrying a boat across a river is
obtained. A problem has been solved in which, when the boat is moving, its nose is always directed to the pier, located
on the opposite bank of the river. When moving to a reference frame associated with the river, this problem is solved
similarly to the problem of the motion of an infrared-guided torpedo, which is fired to hit a ship moving uniformly and
rectilinearly. Another similar task about the meeting is given in the well-known problem book on general physics by
I.G. Irodov, where an original indication for its solution is given. Earlier differential equations describing the motion of
a boat and a torpedo were solved by us numerically by the Euler method.

boat crossing a river, differential equations of motion, analytical solution of a differential equation

How to Cite

ANALYTICAL SOLUTION OF THREE IDENTICAL TASKS FOR A MEETING. (2024). Scientific Journal "Bulletin of the K. Zhubanov Aktobe Regional University", 67(1). https://vestnik.arsu.kz/index.php/hab/article/view/111