Please provide full solution

Figure shows the intersection of the unit cylinder m2 + y? = 1 and the plane 2 232 = 3. Also shown are the position vector (black), velocity vector (blue), and acceleration vector (red) for a partic- ular parameterisation. (i) Find a definition for the parametric position vector t.) tracing out the intersecting space curve (green). By using cos(t)2+sin(t)2=1 (ii) Compute the cartesian velocity vector 1:,(t). (iii) Compute the cartesian acceleration vector gm. (iv) 1When (in terms of t) and where (in terms of may, 2) are the velocity and acceleration vectors perpendicular