Modeling Rates and Particle Motion

Definition

This term refers to the process of using calculus to describe the behavior of rates and particles in motion. It involves creating mathematical models that represent how quantities change over time.

Related terms

Derivative:

The derivative measures the rate at which a quantity is changing at any given point. It's like calculating the speed of an object in our movie.

Integral:

The integral allows us to find the total accumulation or net change of a quantity over an interval. It's similar to adding up all the frames in our movie to see how much something has changed.

Position, Velocity, Acceleration: These terms are used to describe particle motion. Position tells us where an object is located, velocity describes its speed and direction, and acceleration represents changes in velocity.