CALCULATION OF TIME-DEPENDENT VELOCITY AND DISPLACEMENT OF A PARTICLE IN PROJECTILE MOTION WITH AIR RESISTANCE, LIFT FORCE, AND EXTERNAL FORCE
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Abstract
This research aimed to study the trajectory of projectile-moving particles of mass under air resistance force, lifting force, and a vertically acting time-dependent external force
on the particles. The velocity and displacement of a particle in projectile motion were calculated as functions of time, both horizontally and vertically. The particle, with a mass
that moved in projectile motion, is subjected to air resistance, lift force, and a time-dependent external sine square force, causing vertical oscillations. A physics model was constructed based on Newton’s second law of motion and was solved using integral methods to determine the velocity and displacement in both horizontal and vertical axes. The time-dependent velocity was found to be directly proportional to the frequency of molecular vibrations of particles and a coefficient of air resistance density.
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References
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