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### Multi-Dimensional Motion

In this module, we will expand our study of Kinematics to multi-dimensional motion. While we could make a linear motion problem that we have studied previously into a multi-dimensional motion problem by rotating our coordinate axis so that the object doesn't move along any of the coordinate axis, this is not usually done by physicists as it makes the math harder.

Motion along a curved path with our present level of math skills requires us to deal with multi-dimensional motion. We will deal in detail with two special cases: projectile motion and circular motion.

For those students who decide to go on to more advanced study at a university, you will discover in your advanced physics and math courses that there are additional coordinate systems (curvilinear coordinates) besides just polar coordinates that can simplify more complicated curved motion into simpler one dimensional or multidimensional problems.

### Instructional Material

- Printable Outline Notes on Projectile Motion (pdf)
- Printable Outline Notes on Circular Motion (pdf)
- Projectile Motion Part 1 (pg 54 - 62) - Video
- Projectile Motion Part 2 (pg 54 - 62) - Video
- Circular Motion Part 1 (pg 106-115) - Video
- Circular Motion Part 2 (pg 106-115) - Video
- Circular Motion Part 3 - Total Acceleration (pg 106-116) - Video
- Circular Motion Part 4 - Uniform Circular Motion (pg 106 - 109) - Video

### Example Problems

- Projectile Problem 4 Part A - Video
- Online Home Work
- Module Learning Objectives
- Return To Class Home Page

### Physics Website Links

- 1. Khan Academy Two Dimensional Motion
- 2. MIT Projectile Motion
- 3. MIT Uniform Circular Motion
- 4. Mechanical Universe "Moving in Circles"

### Tarleton Physics Links

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### Unique Facilities

One of the best equipped undergraduate programs in the US!!

- 32" Telescope
- Tandem Accelerator
- Electron Microscope
- X-ray Diffraction System
- Leybold CT System
- Ultrasound
- Laser Facility

### Unique Tracks

Specialty tracks to match your career needs:

- Astronomy
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### Research Links

We offer our students courses not generally found at smaller institutions like:

- Astrophysics
- Computational Physics
- Medical Physics I & II
- Microwave Theory
- Nuclear Physics
- Solid State Physics
- Principles of Nuclear Engineering
- Nuclear Reactor Theory
- Graduate Quantum Mechanics
- Graduate Mechanics