Lesson: Rectilinear Motion and Integration Mathematics • Third Year of Secondary School

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In this lesson, we will learn how to apply integrals to solve problems involving motion in a straight line.

Students will be able to

find the change in the velocity of a particle over a certain time period when given the acceleration function, ,
find the velocity function of a particle, , when given the acceleration function, , 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, ,
find the displacement function, , when given the velocity function, , and an initial condition:
- extend this to find displacement at a certain time.