Particle Motion (Calculus)

Front

What does it mean if a particle has negative velocity?

Back

The particle's position graph is decreasing.

Tags

CCSS.HSF.IF.B.4

Front

Define velocity.

Back

Velocity is speed in a specific direction.

Tags

CCSS.HSF.LE.B.5

Front

Which expression determines speed?

Back

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

Tags

CCSS.HSF.LE.B.5

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.

Tags

CCSS.HSF-IF.C.7A

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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.