Maths

posted by Han

The average depth of the water in a port on a tidal river is 4 m. At low tide, the depth of the water is 2 m. One cycle is completed approx every 12 h. a) find an equation of the depth d(t) metres, with respect to the average depth, as a function of the time, t hours, after low tide, which occurred at 15:00.

  1. Damon

    Since it asks for depth wrt average, we do not need the 4 m average but only how much it departs from average

    at t = 0, d = -2 (low tide, 2 feet below average)

    d = -2 cos 2 pi t/T
    since T = 12 hours is given
    d = -2 cos (pi t/6)

  2. Han

    ok thanks a lot for your help :D

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