When an object with a mass of 5 kg is connected to the end of a spring, the spring extends 10 meters and reaches equilibrium. This spring- mass system is placed in an environment with a damping constant of 5 kilograms/second and the mass is released with no initial velocity by pulling it down 3 meters from its equilibrium position. Find the function that shows the change in position of the given damped spring - mass system with time. Determine the period and amplitude of the movement. Determine how many seconds the system first reaches its maximum position (in the positive or negative direction) and the equilibrium position after t = 0. (Gravity = 10 meters/second) Then transform the equation of the mass - spring system. Convert it into a system of equations and draw a sample orbit by creating the vector field of the system and interpret the shape of this orbit. (Draw the vector field and orbit)