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Exploring Vectors and 2-Dimensional Motion: A Comprehensive Guide

Dive into the world of vectors and 2-dimensional motion with our comprehensive guide. Understand how to add vectors graphically using head-to-tail methods and learn to resolve vectors into components using trigonometry. Explore the intricacies of relative velocity through practical problems involving boats and airplanes. Master the kinematics of projectiles, including constant horizontal velocity and vertical acceleration. With hands-on practice and in-class exercises, become proficient in vector notation, scalar vs. vector quantities, and solving real-world problems effectively.

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Exploring Vectors and 2-Dimensional Motion: A Comprehensive Guide

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    1. Vectors & 2-Dimensional Motion

    2. Vectors & 2-D Motion Adding vectors graphically Vector Components Adding vectors numerically Relative velocity problems Projectiles

    3. Welcome to VectorLand all you Scalarians! Adding vectors graphically Head to tail addition with ruler & protractor. Vector Components Use trigonometry. Adding vectors Numerically Resolve all vectors into components using trig’. Relative velocity problems Boats relative to water…planes relative to air, etc. Projectiles Kinematics in 2-dimensions: constant horizontal velocity, constant vertical acceleration

    4. Lots of in-class practice doing trigonometry Master right-triangle trigonometry SOH – CAH - TOA Pythagorean theorem: a2 + b2 = c2 Remember “head-to-tail” addition of vectors Vector components add head-to-tail giving the original vector. Please see Mr. Jones for outside help if you are struggling with trigonometry.

    5. There are two kinds of quantities… Vectors are quantities that have both magnitude and direction, such as position & displacement velocity acceleration Scalars are quantities that have magnitude only, such as distance speed time mass

    6. Notating vectors: This is how you notate a vector… This is how you draw a vector…

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