Description : A bee is going to start at some
radial distance from the origin with an initial radial
velocity/acceleration. We will also give the bee an initial angular
velocity and acceleration. In both cases, we confine ourselves to no more
than a quadratic relationship between the position/angle and time:

theta = theta_{0} + omega_{0}*t + ½*alpha*t^{2}

r = r_{0} + v_{r0}*t + ½*a_{r}*t^{2}

The angle theta is positive in a clockwise sense. The angle is
measured out from the hive (the origin), and the radius vector points to a
point P on the path (indicated in the animation). The vectors coming out
of the red point P are the blue instantaneous velocity vector (scaled down
by a factor of 4), and the green instantaneous acceleration vector (scaled
down by a factor of 20). You can change the various values below, and then
click the Update Information button, and then the PLAY button to run the
animation.

(The animation may move off screen, but the graph will go until you stop it.)

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