Parametric and Polar Curves
Terms
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)) |
