Scientific Journal Problems of Emergency Situations - A. Kalinovsky, L. Kutsenko, O. Polivanov, В. Kryvoshei, О. Savchenko. Delivery trajectory modeling fire extinguishing container to the upper floors of buildings. С. 136-155.

A method is presented for geometrically modeling the trajectory of delivery of a container with a fire extinguishing agent to the windows of the upper floors of houses where a fire occurred. The Typhoon-10 pulse fire extinguisher, which is used as a pneumatic gun, is used as a starting agent. This allows fire extinguishing agents to be delivered to the fire zone discretely, placed in a special container. To determine a rational trajectory for container delivery to the upper floors of the building, differential equations known from mechanics and their solutions were used. The resulting relationships connect the parameters characteristic of the points of the desired trajectory. An addition to these results will be the dependencies found in this work to describe the overhead and floor trajectories that intersect at the point of the burning window of the building. The values of the minimum starting speed for delivering a container to a predetermined window of a building on the required floor have also been determined. It is assumed that for calculations the height of the burning window (from the foundation of the building) is known, and the distance from the pulse fire extinguisher to the wall of the building is also known. Maple was compiled – a program for checking the obtained dependencies by constructing delivery trajecto-ries using computer graphics. The results can be obtained in the form of a table, where the initial speeds and departure angles of the container depend on the floor number of the building. The conducted research is aimed at developing tactics for extinguishing fires in multi-storey buildings using the throwing method (or throwing, using Fire extinguisher Ball). This technology is characterized by the efficiency of fire extinguishing by fire and rescue units, regardless of the condition of the access roads to the building, as well as the existence of various obstacles directly in the yard in front of the house. All this will prevent the spread of fire due to its prompt localization and elimination.

References

073: Fire Extinguisher Ball, just throw it in the fire! How to make it. Available at: https://www.hamido.at/fire-ball/
Mizrahi, J. Minimum velocity of a projectile in parabolic motion to pass above a fence. Making Physics Clear. Available at: https://makingphysicsclear.com/minimum-velocity-of-a-projectile-in-parabolic-motion-to-pass-above-a-fence/
Mizrahi, J. Ballistic motion – Maximum horizontal reach when firing from a height. Making Physics Clear. Available at: https://makingphysicsclear.com/ballistic-motion-maximum-horizontal-reach-when-firing-from-a-height/
Mizrahi, J. Ballistic problem – Maximum horizontal reach when firing toward a high place. Making Physics Clear. Available at: https://makingphysicsclear.com/ballistic-problem-maximum-horizontal-reach-when-firing-toward-a-high-place/
Kamaldheeriya Maths easy. (2020). Derivation of Minimum Velocity and Angle to Hit a given point Projectile Motion #kamaldheeriya, YouTube. Available at: https://www.youtube.com/watch?v=yR5C0XA8iI0
Miranda, E. N., Nikolskaya, S., Riba, R. (2004). Minimum and terminal velocities in projectile motion. Revista Brasileira de Ensino de Física, 26(2), 125–127. doi: 10.1590/S0102-47442004000200007
Calculating minimum velocity of the projectile needed to hit target in parabolic arc. Game Development Stack Exchange. Available at: https://gamedev.stackexchange.
com/questions/17467/calculating-minimum-velocity-of-the-projectile-needed-to-hit-target-in-parabolic
At which point of the trajectory does projectile have minimum velocity. Doubtnut. Available at: https://www.doubtnut.com/question-answer-physics/at-which-point-of-the-trajectory-does-projectile-have-minimum-velocity-643043562
Projectile motion – trajectory equation, definition and formulas. Engineering applications. Available at: https://www.hkdivedi.com/2020/01/projectile-motion-trajectory-equation.html
Projectile Motion. Engineering Fundamentals. Available at: https://www.com/content/EngineeringFundamentals/1/MapleDocument_1/Projectile%20Motion.pdf
Kalynovskyi, A. Ya., Polivanov, O. H. (2023). Sposib skladannia tablytsi kutiv dostavky vohnehasnykh rechovyn do bahatopoverkhovoi budivli. The 5th International scientific and practical conference «European scientific congress» Barca Academy Publishing, Madrid, Spain, 54–60. Available at: http://repositsc.nuczu.
edu.ua/handle/123456789/18121
Kalynovskyi, A. Ya., Polivanov, O. H. (2023). Pro minimalnu pochatkovu shvydkist tila, vypushchenoho pid kutom do horyzontu. The 9th International scientific and practical conference «Scientific research in the modern world» Perfect Publishing, Toronto, Canada, 155–160. Available at: http://repositsc.nuczu.edu.ua/handle/123456789/18191
Kalynovskyi, A. Ya., Polivanov, O. H. (2023). Rozrobka sposobu rozrakhunku parametriv dostavky konteinera-vohnehasnyka do vikon vysotnykh budynkiv. The 7th International scientific and practical conference «Innovations and prospects in modern science» SSPG Publish, Stockholm, Sweden, 68–76. Available at: http://repositsc.nuczu.edu.ua/handle/123456789/18190