Amass weighing 16 lb stretches a spring 8/5 ft. the mass is attached to a viscous damper with a damping constant of 2 lb-sec/ft. the mass is set in motion from its equilibrium position with a downward velocity of 5 in/sec. find the position x of the mass at any time t. plot x versus t. if a force of 0.5 sin (2t) exerted to the system, describe the motion after a very long period of time.

Tafari worked one summer on a ship that set weather buoys in the ocean. he watched how one of the buoys moved in the water. describe which parts of the wave would cause the buoy to bob up and down. which wave property determined how fast the buoys bobbed in the water? he observed that when the wind blew harder, the ocean waves were larger, and the buoys moved away from the ship. what effect, if any, did the waves have on how far the buoys moved? explain your answer.