The car speed cruise control input-output differential equation is given by [dot{v}+frac{b}{m} v=frac{b}{m} v_{r}] for a step

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The car speed cruise control input-output differential equation is given by

\[\dot{v}+\frac{b}{m} v=\frac{b}{m} v_{r}\]

for a step input \(v_{r}\).

(a) Determine the system Transfer Function model H(s).

(b) Find the dynamic system response \(v(t)\).

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