A cart of mass m = 1000 kg is attached to a truck using a spring of stiffness k = 20,000 N/m and a damper of constant b = 200 Ns/m, as shown in the Figure. The truck moves at a constant acceleration of alpha = 0.7 m/s^2. determine the transfer function between the speed of the truck (input) and the speed of the cart (output) Find an expression for the speed of the cart.

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