Cristina Y.

asked • 07/25/21

If the water must be at least 3m deep to dive safely, when during the daylight hours would it be safe to dive off the dock?

The water at a local beach has an average depth at high tide of 8m. One cycle of the tides takes approximately 12 hours. This periodic motion can be modelled by the function d(t)=3.5cos[π/6 t] + 4.5 where d(t) represents the depth of water in meters, at a time t, in hours. This equation assumes that the water level is at a high tide at time zero. Many people dive into the water from a nearby dock. If the water must be at least 3m deep to dive safely, when during the daylight hours would it be safe to dive off the dock?

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