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Explore vector motion in multiple dimensions through this comprehensive lecture from Yale University's Fundamentals of Physics course. Delve into the properties of vectors, including magnitude, direction, null vectors, minus vectors, and unit vectors. Learn about vector addition and its application to projectile motion problems. Understand how to choose basis axes and perform vector transformations. Examine velocity vectors as derivatives of displacement vectors and their application to circular motion. Review constant acceleration motion before progressing to more complex multidimensional scenarios. Gain valuable insights into vector calculus and its practical applications in physics through detailed explanations and problem-solving demonstrations.
Syllabus
- Chapter 1. Review of Motion at Constant Acceleration.
- Chapter 2. Vector Motion 2D Space: Properties.
- Chapter 3. Choice of Basis Axis and Vector Transformation.
- Chapter 4. Velocity Vectors: Derivatives of Displacement Vectors.
- Chapter 5. Derivatives of Vectors: Application to Circular Motion.
- Chapter 6. Projectile Motion.
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