Position, Velocity, & Acceleration

Connecting position, velocity, and acceleration of functions using integrals.

Mapped to AP College Board # CHA-4, CHA-4.C, CHA-4.C.1

Definite integrals allow us to solve problems involving the accumulation of change over an interval. Determine values for positions and rates of change using definite integrals in problems involving rectilinear motion. For a particle in rectilinear motion over an interval of time, the definite integral of velocity represents the particle’s displacement over the interval of time, and the definite integral of speed represents the particle’s total distance traveled over the interval of time.