Consider the heaving motion of a 500 ft ship traveling at 15 knots at a heading of μ = 160°. For a sea state with a significant wave height of 5 m and a modal period of 10.8 sec, the variance of the heave motion was 1.33 m, the variance of the heave velocity was 0.581 m2 /sec2, and the variance of the heave acceleration was 0.293 m2 /sec4. Find the significant heaving magnitude and the probability of the heaving motion exceeding 2.8 m.
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