Aurelia: Jurnal Penelitian dan Pengabdian Masyarakat Indonesia
Vol 4, No 1 (2025): January 2025

Analysis of Travel Time Approximation on Trips Using Maclaurin Series

Singgam, Pritiy (Unknown)
Silalahi, Anggi (Unknown)
Tampubolon, Josua Deo (Unknown)
Harliana, Putri (Unknown)



Article Info

Publish Date
30 Dec 2024

Abstract

Mathematical approximation plays an important role in the analysis of travel time which is influenced by factors such as speed, distance, and acceleration. This study uses the Maclaurin series to approximate the value of travel time based on the distance traveled (x) and the number of terms in the series (n). The calculation was done manually and implemented using MATLAB for the case of distance x = 2 with the first five terms n = 5. The results of the manual calculation showed an estimated travel time of 0.9094 seconds, while the calculation using MATLAB resulted in 0.9093 seconds. The small difference between the two methods shows the accuracy of the Maclaurin series in travel time approximation. By increasing the number of terms in the sequence, the calculation results will be closer to a more precise value. This study emphasizes the benefits of the Maclaurin sequence method in simplifying mathematical analysis and improving calculation efficiency in physical and computational applications. 

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Journal Info

Abbrev

aurelia

Publisher

Subject

Humanities Computer Science & IT Education Law, Crime, Criminology & Criminal Justice Social Sciences

Description

AURELIA: Jurnal Penelitian dan Pengabdian Masyarakat Indonesia is published twice a year: January and July. E-ISSN: 2964-2493 (Elektronik) P-ISSN: 2962-0430 (Cetak) Editor In Chief: T. Heru Nurgiansah, S.Pd., M.Pd DOI: 10.57235 Publisher: CV. Rayyan Dwi Bharata Receive articles from research and ...