Am on the write path and can someone explain me what I have to do?

Mathematics

1 answer:

marta [7]3 years ago

5 0

You would have to find the unit rate which is 26 feet per 1 minute (52/2) Otherwise you are correct

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The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tide

Valentin [98]

Draw a diagram to illustrate the problem as shown in the figure below.

The minimum depth of 2.5 m occurs at 12:00 am and at 12:30 pm.
Therefore the period i0s T= 12.5 hours.
The maximum depth of 5.5 m occurs at 6:15 am and at 6:45 pm. Therefore the period of T = 12.5 hours is confirmed.

The double amplitude is 5.5 - 2.5 = 3 m, therefore the amplitude is a = 1.5 m.
The mean depth is k = (2.5 + 5.5)/2 = 4.0 m

The model for tide depth is
$d=-1.5cos( \frac{2 \pi t}{12.5})+4$

That is,
d = -1.5 cos(0.5027t) + 4
where
d = depth, m
t = time, hours

A plot of the function confirms that the model is correct.