Velocities: mean, average and instantaneous in uniform accelerated motion, some pedagogical comments

2013/03/28 by Paco Talero, Talero, Paco, Orlando Organista +3
Physics and Astronomy · #FOS: Physical sciences #Physics Education (physics.ed-ph) #physics.ed-ph

paper · pdf · doi:10.48550/arxiv.1303.7025

4 pages,2 figures. Submitted to Revista Brasileira de Ensino de Fisica, in Portuguese

arxiv created 2013/03/28 · arxiv updated 2013/03/29

Abstract

The relation among instantaneous, mean and average velocities in one-dimensional motion with constant acceleration is studied. It was shown that the instant velocity evaluated in the time t_p=(t₂+t₁)/2 is similar to the mean and average velocities evaluated between the times t₁ and t₂. The reason for relations illustrated before were shown in detail. Also, the results obtained were used to propose a pedagogical strategy in order to study the one-dimensional motion with constant acceleration as a natural extension of one-dimensional motion with constant velocity.

Related

• Taylor Series Kinematics
• Absoluteness of Velocity Produced by Accelerating Process and Absolute Space-time Theory with Variable Scales
• Three Self-Consistent Kinematics in (1+1)D Special Relativity
• Thomas Precession by Uniform Acceleration
• A Qualitative Analysis to Simple Harmonic Motion