lecture07 - Motion in 2D and 3D: changes in direction dv d...

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2 2 tan rad a a a  dt v d v v dt dv dt v v d dt v d a ˆ ˆ ˆ Motion in 2D and 3D: changes in direction rad a a a tan An object can move at constant speed and still have a 0! This didn’t happen in 1D!! Change in speed; parallel to v Change in direction; perpendicular to v t tt    t v t v t v ˆ       t t v t t v t t v ˆ   t v ˆ   t t v ˆ v ˆ a v dt v d v v t ˆ ˆ ˆ 90 0 0 
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In 2 (or 3) dimensions, acceleration can occur both parallel (tangent) to velocity or perpendicular (normal) to it. a a a a rad || tan Net acceleration (a) Acceleration in the direction of the velocity changes the speed. (b) Acceleration perpendicular to the velocity does not change the speed but shifts the direction of the motion .
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This note was uploaded on 10/21/2010 for the course PHYS 221 taught by Professor Herrera-siklody during the Fall '08 term at Iowa State.

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lecture07 - Motion in 2D and 3D: changes in direction dv d...

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