= Rotation of a radially slotted arm, which includes a body B which slides along the length of the arm, is governed by 0.2t+0.02 t3, where 0 is in radians and t is in seconds. As the arm rotates, a power screw moves the sliding body B and controls its distance from the pivot point O according to r = 0.2 + 0.04t2, where r is in metres and t is in seconds. Calculate the magnitudes and directions of the velocity and acceleration of the slider for the instant where t = 3 s. [0.479 m/s, 125.2, 0.601 m/s, 177.5]