The x-coordinate of a particle in curvilinear motion is given by x = 2t3 - 3t, where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 4t. If the particle has y-components y = 0 and y = 4 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 2 sec. Sketch the path for the first 2 seconds of motion, and show the velocity and acceleration vectors for t = 2 sec.