Engineering Vibration Analysis Example Problem | Response of damped system to base excitation

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Response of damped system to base excitation , Example Problem discussed in this video

A car is modeled as a single degree of freedom system vibrating in the vertical direction. It is driven on a road whose elevation varies sinusoidal. The peak to trough depth is 0.2 m and the distance along the road between the peaks is 35 m. The natural frequency of the car is 2 Hz and the damping ratio of its shock absorber system is 0.15. What is the amplitude of vibration of the car at a speed of 60 km/hour? If the speed of the car is varied what is the most unfavorable speed for the comfort of its passengers?
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