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Acceleration can be decomposed into a component that is tangential and a component that is normal to the path of a particle, sometimes called centripetal acceleration . In this video, we'll explore the intuition and then use multivariable calculus to come up with formulas to describe these two components, in terms of the velocity of the particle and the curvature of the curve. This creates a right triangle with sides parallel to the unit Tangent vector and the unit Normal vector. This video follows our previous study of curvature and torsion along the path of a curve: • How curvy is a curve? Intro to Curvat... **************************************************** YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems! **************************************************** ►Full Multivariable Calculus Playlist: • Calculus III: Multivariable Calculus ... **************************************************** Other Course Playlists: ►CALCULUS I: • Calculus I (Limits, Derivative, Integ... ► CALCULUS II: • Calculus II (Integration Methods, Ser... ► DIFFERENTIAL EQUATIONS: • Laplace Transforms and Solving ODEs ►DISCRETE MATH: • Discrete Math (Full Course: Sets, Log... ►LINEAR ALGEBRA: • Linear Algebra (Full Course) *************************************************** ► Want to learn math effectively? Check out my "Learning Math" Series: • 5 Tips To Make Math Practice Problems... ►Want some cool math? Check out my "Cool Math" Series: • Cool Math Series **************************************************** ►Follow me on Twitter: / treforbazett ***************************************************** This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria. BECOME A MEMBER: ►Join: / @drtrefor MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett