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Damian’s car weights 2000kg. The spring has a natural unstretched length of 2m and a spring constant of k = 80000N/m. The drag the car experiences is given by D = -cMv where c = 4. By considering Newton’s law applied to Damian’s car, write down an ODE for the motion of Damian’s car in the form

(3) By considering Newton's law applied to Damian's car, write down an ODE for the motion
of Damian's car in the form
d² x
dx
+ A-
+ Bx = f(t)
dt
dt2
You should find the values of the numbers A and B and express f(t) in terms of y(t). Be
careful about the signs/directions of the forces.

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