Learn how to determine when a particle is at rest using a calculator

The video tutorial explains how to determine when a particle is at rest by finding when its velocity is zero. The instructor demonstrates how to derive the velocity function from the position function and solve for zeros using a calculator. Two methods for finding zeros and intersections on a graph are discussed, emphasizing the importance of storing these values for future use. The lesson concludes with the determination of specific time points when the particle is at rest.

What is the primary method to determine when a particle is at rest?

• When the speed is maximum

• When the acceleration is zero

• When the velocity is zero

• When the position function is zero

What is the derivative of the position function used to find?

• The acceleration function

• The displacement function

• The speed function

• The velocity function

What challenge is mentioned when dealing with non-factorable problems?

• They cannot be solved using a calculator

• They require a different approach than factorable problems

• They have no real solutions

• They are easier to solve

Which calculator function is used to find zeros of the velocity function?

• Second calc or second trace

• First calc or first trace

• Graph function

• Derivative function

What is an alternative method to find the zeros of the velocity function?

• Using a diagonal line

• Using a horizontal line at zero

• Using a vertical line

• Using a parabolic line

Why is it important to store the X intercept values?

• They are used to find the maximum velocity

• They are not important

• They help in drawing the graph

• They are needed for future calculations

What are the approximate times when the particle is at rest?

• 0.3 and 4.0 seconds

• 2.0 and 5.0 seconds

• 1.2 and 3.5 seconds

• 0.558 and 4.7 seconds