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

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 $t_{p}=\left(t_2+t_1\right)/2$ is similar to the mean and average velocities evaluated between the times $t_1$ and $t_2$. 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.