Originally Posted by

**sonia1** 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)