Particle Motion (Calculus)

Front

What does it mean if a particle has negative velocity?

Back

The particle's position graph is decreasing.

Front

Define velocity.

Back

Velocity is speed in a specific direction.

Front

Which expression determines speed?

Back

|v(t)|, the absolute value of velocity.

Front

When is a particle's speed decreasing?

Back

When its velocity and acceleration have different signs.

Front

What does v(t) > 0 indicate?

Back

The particle is moving to the right.

Front

What is the relationship between position, velocity, and acceleration?

Back

Velocity is the derivative of position, and acceleration is the derivative of velocity.

Front

How can you determine if a particle is at rest?

Back

If v(t) = 0, the particle is at rest.

Front

What does a positive acceleration indicate about a particle's motion?

Back

The particle is speeding up if its velocity is also positive.

Front

What does a negative acceleration indicate if the velocity is positive?

Back

The particle is slowing down.

Front

What is the significance of the second derivative of position?

Back

It represents acceleration.