64. A particle is constrained to move around the unit circle in the xy plane according to the formula (x, y, z) = (cos(t2), sin(t2), 0), t > 0.ec Lo Chapter 14 Curves and Surfaces (a) What are the velocity vector and speed of the particle as functions of t? (b) At what point on the circle should the parti- cle be released to hit a target at (2, 0, 0)? (Be careful about which direction the particle is moving around the circle.) (c) At what time t should the release take place? (Use the smallest t > 0 which will work.) (d) What are the velocity and speed at the time of release? (e) At what time is the target hit? + to the force law