Copyright

Ch 32: Calculus Applications: Projectile & Harmonic Motion

About This Chapter

We can help you review the calculus applications of harmonic and projectile motion with the informative lessons in this fun chapter. In these short video and text lessons, you'll learn the information related to these topics so you're prepared for an upcoming examination or a class project.

Calculus Applications: Projectile & Harmonic Motion - Chapter Summary

This engaging chapter covers projectile and harmonic motion and other related calculus topics. Our instructors explain the definition of projectile motion in these lessons and then provide you with practice problems to test your knowledge. You'll also review simple harmonic motion (SMH), its formulas and definition. This chapter is designed to help you meet the following objectives:

  • Explain the theory and equation associated with oscillation
  • Define how pendulums are used in physics
  • Solve problems involving simple harmonic motion
  • Use differentiation to describe resultant motion

These helpful lessons have been created by professional instructors to make even the most challenging topics simple and user-friendly. Before moving on to other subjects, take the associated multiple-choice quiz that follows each lesson. If you need to review any of the material in a video lesson again, use the video tabs feature in the Timeline to skip directly to that section. Our instructors are available to help if you find that you need any assistance.

6 Lessons in Chapter 32: Calculus Applications: Projectile & Harmonic Motion
Test your knowledge with a 30-question chapter practice test
Projectile Motion: Definition and Examples

1. Projectile Motion: Definition and Examples

A projectile is any object that is given an initial velocity and then follows a path determined entirely by gravity. In this lesson, we will introduce projectile motion and touch on a few key facts to keep in mind when working through these problems.

Projectile Motion Practice Problems

2. Projectile Motion Practice Problems

After watching this video lesson, you will know how to use the sets of equations that are used to solve projectile motion problems. Learn how to manipulate them to find the answer you need.

Simple Harmonic Motion (SHM): Definition, Formulas & Examples

3. Simple Harmonic Motion (SHM): Definition, Formulas & Examples

After watching this video, you should be able to explain what simple harmonic motion is, describe the features of the motion, and use equations to solve simple harmonic motion problems, particularly for a mass on a spring. A short quiz will follow.

Oscillation: Definition, Theory & Equation

4. Oscillation: Definition, Theory & Equation

In this article you will learn about mathematical functions that are used to model oscillations. An oscillation is any motion that repeats itself, and the function describing a particular oscillation is an example of a periodic function. Sine and cosine are the most common periodic functions.

Pendulums in Physics: Definition & Equations

5. Pendulums in Physics: Definition & Equations

After watching this lesson, you will be able to explain what a pendulum is, why it is an example of simple harmonic motion, and use equations to solve pendulum problems. A short quiz will follow.

Solving Simple Harmonic Motion Problems

6. Solving Simple Harmonic Motion Problems

In this lesson, you'll learn how we derive the displacement, velocity, and acceleration formulas for simple harmonic motion. You'll then use this knowledge to work through several simple harmonic motion problems yourself.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Support