AP Calculus AB Unit 4 Review

Front

What is the definition of velocity in calculus?

Back

Velocity is the rate of change of position with respect to time, often represented as the derivative of the position function.

Front

When is a body moving at a constant speed?

Back

A body is moving at a constant speed when its velocity is constant over a time interval, meaning the graph of velocity is horizontal.

Tags

CCSS.HSF.IF.B.4

Front

What does it mean for a body to be slowing down?

Back

A body is slowing down when its velocity is decreasing over time, which occurs when the acceleration is in the opposite direction to the velocity.

Front

How do you determine the rate of change of distance between two moving objects?

Back

Use the concept of related rates, applying the distance formula and differentiating with respect to time.

Front

Back

Front

Back

The limit is 6.

Front

What is the Fundamental Theorem of Calculus?

Back

Front

What is the relationship between acceleration and velocity?

Back

Acceleration is the derivative of velocity with respect to time, indicating how velocity changes over time.

Front

What is a critical point in calculus?

Back

A critical point occurs where the derivative of a function is zero or undefined, indicating potential local maxima or minima.

Front

What is the Mean Value Theorem?

Back