# Ch. 4 Summary - University Physics Volume 1 _ OpenStax.pdf...

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9/22/2020Ch. 4 Summary - University Physics Volume 1 | OpenStax1/2Summary4.1 Displacement and Velocity VectorsThe position functiongives the position as a function of time of a particle moving in two or threedimensions. Graphically, it is a vector from the origin of a chosen coordinate system to the pointwhere the particle is located at a specific time.The displacement vectorgives the shortest distance between any two points on the trajectory ofa particle in two or three dimensions.Instantaneous velocity gives the speed and direction of a particle at a specific time on its trajectory intwo or three dimensions, and is a vector in two and three dimensions.The velocity vector is tangent to the trajectory of the particle.Displacementcan be written as a vector sum of the one-dimensional displacementsalong thex,y, andzdirections.Velocitycan be written as a vector sum of the one-dimensional velocitiesalong thex,y, andzdirections.

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