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Parametric and Polar Curves

Terms

Introduction and Summary

Velocity, Acceleration, and Parametric Curves

Acceleration Vector  -  A vector that represents the instantaneous acceleration of a particle moving along a parametric curve (x(t), y(t)) ; in coordinates, the acceleration vector is

(x''(t), y''(t))    

Parametric Curve  -  A curve consisting of the points (x(t), y(t)) , where t varies over an interval or over the set of real numbers.
Polar Curve  -  The graph of a function in polar coordinates, i.e. the points [r(θ), θ] for all θ in the domain of the function r(θ) .
Velocity Vector  -  A vector that represents the instantaneous velocity of a particle moving along a parametric curve (x(t), y(t)) ; in coordinates the velocity vector is

(x'(t), y'(t))    

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