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Lesson Plan: Rectilinear Motion and Integration

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to apply integrals to solve problems involving motion in a straight line.

Objectives

Students will be able to

  • find the velocity function of a particle, 𝑣(𝑡), when given the acceleration function, 𝑎(𝑡), and an initial condition,
    • extend this to find the instantaneous velocity at a certain time,
  • find the displacement of a particle over a certain time period when given the velocity function, 𝑣(𝑡),
  • find the displacement function, 𝑠(𝑡), when given the velocity function, 𝑣(𝑡), and an initial condition,
  • extend this to find displacement at a certain time.

Prerequisites

Students should already be familiar with

  • integration (definite and indefinite),
  • speed as the magnitude of velocity.

Exclusions

Students will not cover

  • nonpolynomial functions,
  • nonlinear motion,
  • motion defined in terms of 2D and 3D vectors.

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