The motion of the car's suspension shown can be modeled by a damped spring-mass oscillator with...

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The motion of the car's suspension shown can be modeled by a damped spring-mass oscillator with m = 36 kg, k =24 kN/m, and c = 2.0 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 an upward velocity dx/dt = 12 m/s. Determine: (a) the position x as a function of time and (b) XA the position and velocity of the system at t=0.10 seconds. Coil spring KEFICA Shock absorber m K wwwwww X The motion of the car's suspension shown can be modeled by a damped spring-mass oscillator with m = 36 kg, k =24 kN/m, and c = 2.0 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 an upward velocity dx/dt = 12 m/s. Determine: (a) the position x as a function of time and (b) XA the position and velocity of the system at t=0.10 seconds. Coil spring KEFICA Shock absorber m K wwwwww X