The motion of the car’s suspension can be modeled by the damped spring–mass oscillator wit...

The motion of the car’s suspension can be modeled by the damped spring–mass oscillator with m = 36 kg, k = 22 kN/m, and c = 2.2 kN-s/m. Assume that no external forces act on the tire and wheel. At t = 0, the spring is unstretched and the tire and wheel are given a velocity dx/dt = 10 m/s. Determine the position x as a function of time.