13.1 Helix (and the Grinch) 240923done

Let's unclick the path R (keeping curve C showing) and put in the origin

The "position" POINT P when t=(pi)/2, which is the head/end-point of the path (vector) when t = (pi)/2 ... think of this POINT P as the POINT on the curve when t = (pi)/2

Next let's think about the velocity vector when t = (pi)/2 .

The POINT that is the head/end of the velocity VECTOR when t = (pi)/2

Let's graph the VECTOR for the origin O to the point V

and "move" the vector OV as so it's initial/start point is P (rather than the origin O).

Unclick the gray V and vector(O,V).

Question: If the Grinch turns off the magnetic switch to the magnetized track when time t=(pi)/2, then in what direction will the puffo go?

All done .