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Two common representations of 2D velocity are Cartesian (x and y) and Polar (angle and magnitude). Trigonometry can be used to convert between the two.

Polar to Cartesian Conversion

set [x vel v] to (([sin v] of (angle)) * (magnitude))
set [y vel v] to (([cos v] of (angle)) * (magnitude))

Converting from Vector to Angular Velocity

set [angle v] to (([atan v] of ((y vel) / ((x vel) + (0)))) + ((180) * <(x vel) < [0]>))
set [magnitude v] to ([sqrt v] of (((x vel) * (x vel)) + ((y vel) * (y vel))))

See Also

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