Particle Motion (Calculus)

Front

What is the velocity function in relation to position?

Back

The velocity function is the first derivative of position.

Front

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

Back

The particle is moving to the left.

Front

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

Back

The position graph is decreasing.

Front

Which expression determines speed?

Back

|v(t)| determines speed.

Front

How can you determine when a particle is at rest?

Back

A particle is at rest when v(t) = 0.

Front

What is the relationship between acceleration and velocity?

Back

Acceleration is the derivative of velocity.

Front

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

Back

The particle is moving to the right.

Front

What is the significance of the second derivative of position?

Back

The second derivative of position is acceleration.

Front

How can you find the total distance traveled by a particle?

Back

Integrate the absolute value of the velocity function over the interval.

Front

What does the term 'particle motion' refer to in calculus?

Back

Particle motion refers to the study of how a particle moves along a path, described by position, velocity, and acceleration.