when an object which is $1$kg is connected to the end of a spring, it causes a $49$ cm extension in the spring and spring$-$mass system stands in balance in this position. this system is placed in a setting that applies a damping force $4$ times instantaneous velocity$$of$$the$$mass$.$ Following, it is thrown downward from mass$-$equilibrium position with a velocity$$of$0\mathrm{.}388$m$/$s according to the above information, you change equation of spring$-$mass system to an equation system. you draw an example of orbit by creating a vector field of the system, and comment manner$$of$$the$$orbit$.$