Subject:
Acceleration, velocity, and Position The connections between position, velocity, and acceleration formed one of the important themes of differential calculus. We will find that these relationships also form an important application of the definite integral, especially in cases in which one of the quantities varies with time.? To discuss these concepts, we will use the notation:? Relating velocity to acceleration? Remembering that the acceleration is defined by the derivative? we can apply the Fundamental Theorem of Calculus to write this relationship in the form? If we pick call the initial time??and the final time??, then this integral has the form? Relating Position to Velocity? The velocity is defined by the derivative? By the Fundamental Theorem of Calculus,?
