The car body vertical displacement, y(t), can be approximately modelled as a damped mass-spring system (called car suspension system) using the following differential equation: Car Body Attaches Here Spring and Damper Hub Assembly mcar ·+ b₂ + ky = f(t) dy dt dt² Wheel and Tire k Car body mcar 4 by ↑y (1) f(t) Where y(t) is the vertical displacement, mear is the car mas, b, is the damping coefficient, k is the spring stiffness constant, t is the time, and f(t) is the hight of the street from the ground level as a function of time. Given that m = 1500 (Kg), b₂ = 2000 (N.s/m), and k = 100000 (N/m). Answer the following questions: 3-A) If the street is straight, so the f(t) = 0, determine the general solution of y(t). 3-B) Given the initial conditions y(0) = 2, and y'(0) = 1, determine the particular solution of y(t). 3-C) Use Laplace transform to solve the given differential equation with the same initial conditions given in (3-B).