Lesson: Linear Motion with Derivatives Mathematics • Third Year of Secondary School

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In this lesson, we will learn how to use differentiation to find instantaneous velocity, speed, and acceleration of a particle.

Students will be able to

find the speed of a body, , when given the distance traveled as a function of time and extend this to find the instantaneous speed at a certain time,
find the velocity of a body, , when given displacement or position as a function of time and extend this to find the instantaneous velocity at a certain time,
find the acceleration of a body, , when given velocity, displacement, or position as a function of time and extend this to find the instantaneous acceleration at a certain time.