Parametric equations define trajectories in space or in the plane. Very often we can think of the trajectory as that of a particle moving through space and the parameter as time. In this case, the parametric curve is written (*x*(*t*); *y*(*t*); *z*(*t*)), which gives the position of the particle at time *t*.

A moving particle also has a velocity and acceleration. These are vectors which vary in time. We will learn to compute them as derivatives of the position vector.

» Session 15: Equations of Lines

» Session 16: Intersection of a Line and a Plane

» Session 17: General Parametric Equations; the Cycloid

» Session 18: Point (Cusp) on Cycloid

» Session 19: Velocity and Acceleration

» Session 20: Velocity and Arc Length

» Session 21: Kepler’s Second Law

» Problem Set 3