The ball has a mass of 0.5 kg and is suspended from a rubber band having an unstretched...

The ball has a mass of 0.5 kg and is suspended from a rubber band having an unstretched length of 1 m and a stiffness k = 50 N/m. If the support at A to which the rubber band is attached is 2 m from the floor, determine the greatest speed the ball can have at A so that it does not touch the floor when it reaches its lowest point B. Neglect the size of the ball and the mass of the rubber band.