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only solve for b When a car hits a certain bump on the road, a shock absorber on the car is compressed a distance of

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only solve for b

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When a car hits a certain bump on the road, a shock absorber on the car is compressed a distance of 5 in., then released (see the figure). The shock absorber vibrates in damped harmonic motion with a frequency of 6 cycles per second. The damping constant for this particular shock absorber is 3.3. (a) Find an equation that describes the displacement of the shock absorber from its rest position as a function of time. Take t = 0 to be the instant that the shock absorber is released. (Let /(#) be the displacement in inches after & seconds, and assume that when t = 0 the displacement is maximal.) "t) - 5e-3.3 cos (12nt) (b) How long does it take for the amplitude of the vibration to decrease to 0.6 in.? (Round your answer to two decimal places.) 1.82 X s

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