In this lesson on velocity, acceleration, and Kepler's Second Law, we learn about the use of parametric equations to describe the motion of a point in the plane or space as a function of time or a parameter that tracks progress. We explore concepts like speed, represented as a scalar quantity and velocity, represented as a vector. The unit tangent vector to the trajectory is also introduced, along with the concept of arc length, which is the distance traveled along the trajectory. The lesson offers insight into how these concepts relate to one another, and how they can be used to analyze the motion of a point in more detail.
Learn more about parametric equations and how they pertain to velocity, acceleration, and Kepler's Law.
Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 15, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.