Particle Motion and Acceleration Concepts

The video tutorial explains the motion of a particle along a horizontal line, focusing on displacement, velocity, and acceleration. It covers differentiation to find velocity and acceleration, analyzes initial conditions, and discusses the direction of motion. The tutorial also includes a graphical interpretation of the particle's motion, highlighting key concepts like scalars and vectors.

What is the initial displacement of the particle from the origin?

• 3 centimeters

• 2 centimeters

• 1 centimeter

• 0 centimeters

How is velocity determined from displacement?

• By multiplying displacement by time

• By differentiating displacement with respect to time

• By integrating displacement

• By adding displacement and time

What is the velocity of the particle at t = 0?

• -1 cm/s

• 0 cm/s

• 1 cm/s

• -2 cm/s

What is the acceleration of the particle at t = 0?

• 0 cm/s²

• -12 cm/s²

• 12 cm/s²

• -16 cm/s²

At t = 3 seconds, is the particle to the left or right of the origin?

• At the origin

• Cannot be determined

• To the left

• To the right

At t = 3 seconds, in which direction is the particle moving?

• To the left

• To the right

• Cannot be determined

• Stationary

What is the acceleration of the particle at t = 3 seconds?

• 0 cm/s²

• 6 cm/s²

• 12 cm/s²

• 18 cm/s²

When does the particle's acceleration become zero?

• At t = 0 seconds

• At t = 1 second

• At t = 3 seconds

• At t = 2 seconds

What is the speed of the particle when its acceleration is zero?

• 15 cm/s

• 13 cm/s

• 10 cm/s

• 0 cm/s

What does the graph of the particle's motion indicate about its behavior?

• The particle moves in a straight line

• The particle's motion is cubic

• The particle's speed is constant

• The particle's motion is parabolic