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.

What is the velocity of a particle when it moves to the left?

• Positive

• Zero

• Negative

• Undefined

At what time does the particle change direction according to the velocity equation?

• 1 second

• 2 seconds

• 3 seconds

• 4 seconds

What type of function is used to determine if the particle changes direction?

• Exponential function

• Cubic function

• Quadratic function

• Linear function

How can you verify a change in direction using a number line test?

• By observing the particle's speed

• By measuring the distance traveled

• By checking the sign of velocity at different points

• By calculating the acceleration

What inequality represents the particle moving to the left?

• 2T - 4 > 0

• 2T + 4 > 0

• 2T - 4 < 0

• 2T + 4 < 0

Why is it important to justify the change in direction?

• To validate the change in velocity sign

• To ensure the particle's position is accurate

• To confirm the particle's speed

• To calculate the particle's mass

What does the velocity being positive on an interval indicate about the particle's motion?

• The particle is stationary

• The particle is moving to the left

• The particle is accelerating

• The particle is moving to the right