Consider the one degree-of-freedom model of a vehicle suspension system of Figure P4.49. Consider a motorcycle of mass \(250 \mathrm{~kg}\). The suspension stiffness is \(70,000 \mathrm{~N} / \mathrm{m}\) and the damping ratio is 0.15 . The motorcycle travels over a terrain that is approximately sinusoidal with a distance between peaks of \(10 \mathrm{~m}\) and the distance from peak to valley is \(10 \mathrm{~cm}\). What is the acceleration amplitude felt by the motorcycle rider when she is traveling at

(a) \(30 \mathrm{~m} / \mathrm{s}\)

(b) \(60 \mathrm{~m} / \mathrm{s}\)

(c) \(120 \mathrm{~m} / \mathrm{s}\)

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250 kg k = 70,000 N/m 5=0.15 FIGURE P4-49