Estimating instantaneous velocity of an object with constant acceleration

Yaşar, Bora (2015) Estimating instantaneous velocity of an object with constant acceleration. Other thesis, TED Ankara Koleji.

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Abstract

This study focuses on one dimensional motion of an object moving along an inclined plane under the influence of gravitational force. The purpose is to estimate the instantaneous velocity of the object at the middle point of its travelling path. Instantaneous velocity is the velocity of an object at any instant, which is obtained from the average velocity by taking the time interval zero. This is the mathematical definition of the derivative of position of an object with respect to time. The instantaneous velocity of the object at the middle point of it path is estimated by two different methods based on the theoretical definitions. In the first method, average velocities measured for varying time intervals are collected and the instantaneous velocity is estimated by shrinking the time interval closer and closer to zero. In the second method, position of the object with respect to time is measured and the instantaneous velocity is estimated by finding the slope of the tangent line at time when the object is at the middle. The latter is the usual method to find the instantaneous velocity of an object at any instant. The results obtained from the two methods are compared to test the reliability of the former method. It is found that the instantaneous velocity is well estimated by shrinking the time interval measured for a series of average velocity values, as it is compatible with the one found by the conventional way.

Item Type: Thesis (Other)
Additional Information: Candidate’s Advisor: Mehmet Bozkurt, IB Notu: D
Uncontrolled Keywords: dimensional motion, velocity, gravitational force
Subjects: Q Science > QC Physics
Depositing User: Kamil Çömlekçi
Date Deposited: 20 Aug 2015 10:32
Last Modified: 20 Aug 2015 10:32
URI: http://tedprints.tedankara.k12.tr/id/eprint/596

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