Lesson: Linear Motion with Integration Mathematics

In this lesson, we will learn how to use integration to get the average and instantaneous velocities and displacement vectors of a particle in straight-line motion.

Lesson Plan

Students will be able to

  • find the change in the velocity of a particle over a certain time period when given the acceleration function, 𝑎(𝑡),
  • 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.

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