DS Journal of Modeling and Simulation (DS-MS)

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Volume 3 | Issue 1 | Year 2025 | Article Id: MS-V3I1P101 DOI: https://doi.org/10.59232/MS-V3I1P101

Projectile Motion from a Moving Platform to a Stationary Point on the Same Level Ground

SN Maitra

ReceivedRevisedAcceptedPublished
14 Nov 202420 Dec 202425 Jan 202512 Feb 2025

Citation

SN Maitra. “Projectile Motion from a Moving Platform to a Stationary Point on the Same Level Ground.” DS Journal of Modeling and Simulation, vol. 3, no. 1, pp. 1-10, 2025.

Abstract

A bullet is fired from a platform moving forward to study its projectile motion, and thereafter, it moves backwards with the same uniform velocity and strikes a stationary object on level ground. In either case, the maximum horizontal range is determined. The case is also studied when the projection velocity equals the velocity of movement of the platform. Two problems on projectile motion, respectively, with a prescribed time of flight and with a prescribed horizontal range involving grazing the top of a tower, are innovated and solved. For the third problem, two projectiles are launched at a certain interval of time, triggering a collision between them. The interval of time observed and the location of the interception are determined. As regards the fourth problem, a shot is fired from a stationary gun position on the bank of a river and hits a gunboat sailing with a uniform velocity parallel to the opposite bank, while the task is to find the minimum velocity of firing the shot.

Keywords

Velocity, Projectile motion, Fired bullet, Horizontal range, Trajectory.

References

[1] M. Ray, and G.C. Sharma, A Text Book on Dynamics, S. Chand and Company Limited, New Delhi, pp. 165-175, 1990.

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[2] M.S. Ganagi, and V.P. Singh, “Approximate Closed-Form Solution for Projectile Trajectory and its Application to Lead Angle Computations,” Defence Science Journal, vol. 49, no. 3, pp. 179-186, 1999.

[Google Scholar] [Publisher Link]

[3] Soumendra Nath Maitra, “Motion of a Batted Ball To Strike the Wicket Leading to Bowled Out of a Batsman in a Cricket Game,” Bulletin of Marathwada Mathematical Society, vol. 8, no. 1, pp. 34-38, 2007.

[4] Soumendra Nath Maitra, “Motion of a Batted Ball for Striking a Boundary in a Cricket Game,” Scholar Journal of Physics, Mathematics And Statistics, SAS Publishers, India, pp. 154-159, 2019.

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[5] Soumendra Nath Maitra, “Projectile Motion of a Cricket Ball leading to Caught-Out of a Batsman,” School Science (NCERT), vol. 52, no. 2 , pp. 43-48, 2014.

[Google Scholar] [Publisher Link]

[6] Soumendra Nath Maitra, “Motion of a Ball from Crease to Boundary in a Game of Cricket,” School Science, vol. 56, no. 1, pp. 31-36, 2018.

[Google Scholar] [Publisher Link]

[6] Soumendra Nath Maitra, Motion of a Tiny Tool Thrown by An Astronaut to Another Astronaut in a Space Vehicle in the State of Free Fall Revisited, Resonace, vol. 15, pp. 355-362, 2010.

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Projectile Motion from a Moving Platform to a Stationary Point on the Same Level Ground