If the rod starts from rest in the position shown and a motor drives it for a short time...

If the rod starts from rest in the position shown and a motor drives it for a short time with an angular acceleration of where t is in seconds, determine the magnitude of the angular velocity and the angular displacement of the rod when t = 3 s. Locate the point on the rod which has the greatest velocity and acceleration, and compute the magnitudes of the velocity and acceleration of this point when t = 3 s. The rod is defined by where the argument for the sine is given in radians and y is in meters.