You are hired by an automotive company to choose a spring to useon each of the four wheels of a 2000 kg racing vehicle designed togo 180 miles per hour. When you set the car on the tires the entirecar is supposed to sag not more than 10 cm. The car also needsshocks to damp out road vibrations. The damping constant should bechosen such that the amplitude of oscillation reduces to 1/3 theoriginal undamped amplitude after one full period of oscillation.Give values for k, the spring constant, and b, the dampingconstant. State any other assumptions you might need to make.
