How to find the total distance traveled of a particle

The video tutorial explains how to calculate the total distance traveled by a particle by analyzing its velocity function. It covers the concepts of direction change, turning points, and the use of the position function to determine the particle's position at specific times. The tutorial also demonstrates how to calculate the total distance traveled by considering the absolute values of displacements between different time intervals.

What is the significance of the velocity function in determining the direction of a particle's motion?

How do you find the turning points of a particle's motion based on its velocity?

Explain the process of finding the zeros of the velocity function.

What does it mean when the velocity of a particle is equal to zero?

What is the initial position of the particle at time t=0?

Describe the changes in the particle's position from t=0 to t=3 seconds.

How do you calculate the total distance traveled by the particle from S(0) to S(2)?