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Unformatted text preview: Kinematics General Physics I Mechanics Racquetball Striking a Wall in 3D Physics 140 Mt. Etna Stewart Hall Description of motion in 3D Choose a coordinate system; choose its origin The position vector r is from the origin to the cation of an object (a location of an object (a point) The position vector can be written in components: k z j y i x r + + = r Description of motion in 3D As the object moves, the position vector changes with time ach component Each component of vector r is now a function of time Displacement vector: 1 2 r r r r r r = Velocity in 3D Average velocity: Instantaneous t r t t r r v aver = = r r r r 1 2 1 2 velocity: Time derivative of the position vector dt r d t r v t r r r = = lim Velocity in 3D Instantaneous velocity: ( 29 z y x k z j y i x dt d dt r d v + + = = r r Velocity components k dt dz j dt dy i dt dx + + = dt dz v dt dy v dt dx v z y x = = = Acceleration in 3D If the velocity vector changes (in magnitude or in direction), there is acceleration Average acceleration: t v t t v v a aver = = r r r...
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 Winter '10
 Uher
 mechanics

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