4. a cart weighs 8 pounds is attached to the wall by a spring with spring constant k = 2 lb/ft. the cart is pulled 1 ft in the direction away from the wall, and released with the given initial velocity 2 ft/sec. 1. assuming there's no friction/air resistance (no dumping), write down the ode 2. solve the ode and graph it in desmos 3. what are its natural frequency, period and amplitude?