first bit done stuck on second part:
The equations of motion of a point particle in space are given by
1. x(t) = 2t^3 - 3, y(t)= -3t^3, z(t)= 4t^3 - 1
2. x(t)= asin(wt), y(t) = acos(wt), z(t) = t
In each case, calculate the velocity vector v and the acceleration vector a. Also, calculate the absolute values of these vectors.
Now the bit I can't do is,
what are the curves along which the particle moves?
(find these values for an arbitraryt, with a and w being fixed parameter)