Lesson: Planar Motion Using Parametric Equations Mathematics • Higher Education

In this lesson, we will learn how to describe motion of a particle along a curve defined by parametric functions.

Lesson Plan

Students will be able to

interpret parametric equations as vector functions describing particle motion,
differentiate parametric equations to convert between the displacement, velocity, and acceleration of a moving particle.

Q1:

A moving particle is defined by the two equations and . Find the magnitude of the acceleration of the particle at .

Q2:

A particle has a position defined by the equations and . Find the speed of the particle at .

Q3:

A moving particle is defined by the two equations and . Find the magnitude of the acceleration of the particle at .