Particle Motion (Calculus)

Front

What determines speed in particle motion?

Back

|v(t)| (the absolute value of the velocity function)

Front

What is the velocity function in relation to position?

Back

The velocity function is the first derivative of position.

Front

When is a particle's speed decreasing?

Back

When its velocity and acceleration have different signs.

Front

What does negative velocity indicate about a particle's position graph?

Back

The position graph is decreasing.

Front

What does v(t) < 0 signify?

Back

The particle is moving to the left.

Front

What is the relationship between acceleration and velocity when speed is increasing?

Back

Acceleration and velocity have the same sign.

Front

How is acceleration defined in terms of velocity?

Back

Acceleration is the derivative of the velocity function.

Front

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

Back

The particle is speeding up if its velocity is positive.

Front

What does a zero velocity indicate about a particle's motion?

Back

The particle is at rest.

Front

What is the significance of the second derivative of position?

Back

It represents acceleration.