Particle Motion (Calculus)

Front

What does it mean if a particle's position graph is decreasing?

Back

The particle has negative velocity.

Front

What does it mean if a particle's position graph is increasing?

Back

The particle has positive velocity.

Front

What does v(t) > 0 indicate about a particle's motion?

Back

The particle is moving to the right.

Front

What does v(t) < 0 indicate about a particle's motion?

Back

The particle is moving to the left.

Front

How can you determine when a particle is at rest?

Back

By finding when v(t) = 0.

Front

What is the definition of velocity in the context of particle motion?

Back

Velocity is the rate of change of position with respect to time.

Front

What is the relationship between position and velocity graphs?

Back

The slope of the position graph represents the velocity of the particle.

Front

What does a horizontal line on a position graph indicate?

Back

The particle is at rest.

Front

What is the significance of the derivative of the position function?

Back

It gives the velocity function of the particle.

Front

What does it mean if the velocity of a particle is constant?

Back

The particle is moving at a steady speed in a straight line.