Lesson: Rectilinear Motion and Integration Mathematics • Higher Education

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

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,
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

Lesson Video

Lesson Explainer

Sample Question Videos

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03:31
03:50

Lesson Worksheet

Q1:

A car, starting from rest, began moving in a straight line from a fixed point. Its velocity after seconds is given by Calculate the displacement of the car when .

Q2:

A particle is moving in a straight line such that its acceleration at time seconds is given by . Given that its initial velocity is 20 m/s, find an expression for the displacement of the particle at time .

Q3:

A particle is moving in a straight line such that its velocity at time seconds is given by . Given that its initial position from a fixed point is 20 m, find an expression for its displacement at time seconds.