please provide the full solution, thanks!

Figure 1 shows the intersection of the unit cylinder 9:2 + y2 = 1 and the plane 2 2x = 3. Also shown are the position vector (black), velocity vector (blue), and acceleration vector (red) for a partic- ular parameterisation. (it Find a definition for the parametric position vector t) tracing out the intersecting space curve (green). (ii) Compute the cartesian velocity vector gft). {iii} Compute the cartesian acceleration vector QUE). (iv) When (in terms of t) and where (in terms of m, y, z} are the velocity and acceleration vectors perpendicular