Geodesic
About variable acceleration movements
News of the Kabardin-Balkar scientific center of RAS, no. 6 (2022), pp. 13-18

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Movements of both natural bodies and artificial objects, in the vast majority of cases, occur in the form of movements with variable acceleration due to the conditions of their occurrence and development, environmental resistance, technological processes, etc. Examples of such forced movements with variable accelerations are landslide (collapse) of geophysical soil masses, launch acceleration of a spacecraft, free fall of bodies in a resisting environment, pulse acceleration or braking of artificial bodies, etc. To take into account variable acceleration in the equations of motion, it is proposed to introduce a new parameter – "afterburner – F, m/sec$^3$," as a derivative of acceleration (or a second derivative of speed, the third – of path). The classification of forms of motion depending on the relative values of forced acceleration is presented. The use of the specified parameter opens up wide possibilities when determining the current kinematic and dynamic characteristics of bodies at given moments of time at various forms of forced motion with variable accelerations.
Keywords: speed of movement, variable acceleration, free fall, third derivative, resisting medium. 
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     author = {K. N. Anakhaev},
     title = {About variable acceleration movements},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {13--18},
     publisher = {mathdoc},
     number = {6},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2022_6_a0/}
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K. N. Anakhaev. About variable acceleration movements. News of the Kabardin-Balkar scientific center of RAS, no. 6 (2022), pp. 13-18. http://geodesic.mathdoc.fr/item/IZKAB_2022_6_a0/