Thex- and y-motions of guides A and B with right-angle slots control the curvilinear motion of the connecting pin P, which slides in both slots. For a short interval, the motions are governed by x = 20+ 0.61t² and y = 21 -0.64t, where x and y are in millimeters and t is in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t = 1.9 s. Sketch the direction of the path and indicate its curvature for this instant.

Thex- and y-motions of guides A and B with right-angle slots control the curvilinear motion of the connecting pin P, which slides in both slots. For a short interval, the motions are governed by x = 20+ 0.61t² and y = 21 -0.64t, where x and y are in millimeters and t is in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t = 1.9 s. Sketch the direction of the path and indicate its curvature for this instant.