Suppose that a particle moves along a straight line with acceleration defined by =−5/2 in m/, where is in the interval [0,9]. find the velocity function, and displacement function, at time if )=3 and )=0. also find the total distance traveled over the time interval [0,9].

Two steel balls, each of mass m, are welded to a light rod of length l and negligible mass and are initially at rest on a smooth horizontal surface. a horizontal force of magnitude f is suddenly applied to the rod as shown. determine (a) the instantaneous acceleration a of the mass center g and (b) the corresponding rate at which the angular velocity of the assembly about g is changing with time.