How to determine when a particle is moving to the left and right

The video tutorial explains how to determine the direction of a particle's movement by analyzing its velocity. It covers defining velocity, calculating when a particle changes direction, and using methods like the number line test and inequalities to justify these changes. The tutorial emphasizes understanding the transition from negative to positive velocity and provides a detailed explanation of the process.

How can inequalities be used to analyze the motion of a particle?

What is the relationship between the time interval and the direction of motion of the particle?

Describe how to justify the change in direction of a particle at T equals 2 seconds.