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 does a positive velocity indicate about the direction of a particle's movement?

• The particle is moving to the right.

• The particle is moving to the left.

• The particle is moving upwards.

• The particle is stationary.

How do you determine the turning points of a velocity function?

• By finding where the velocity is maximum.

• By finding the derivative of the velocity function.

• By calculating the average velocity.

• By setting the velocity function equal to zero.

At what time does the particle change direction according to the given problem?

• At 2 seconds

• At 3 seconds

• At 1 second

• At 0 seconds

What is the position of the particle at 0 seconds?

• 0

• 40

• 60

• 20

What is the position of the particle at 2 seconds?

• 4

• 40

• 0

• -4

What is the position of the particle at 3 seconds?

• -13

• 0

• 26

• 13

What is the total distance traveled by the particle?

• 63 feet

• 40 feet

• 44 feet

• 17 feet