# Classical accounts tell us that a 170-oar trireme (ancient Greek or Roman warship) once covered 184 sea miles in 24 hours. Explain why at some point during this feat the trireme’s speed exceeded 7.5 knots (sea or nautical miles per hour).

Question
Asked Jan 16, 2020
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Classical accounts tell us that a 170-oar trireme (ancient Greek or Roman warship) once covered 184 sea miles in 24 hours. Explain why at some point during this feat the trireme’s speed exceeded 7.5 knots (sea or nautical miles per hour).

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## Expert Answer

Step 1

Given:

The 170-oar trireme covered a distance of 184 sea miles in 24 hours and its speed exceeded 7.5 knots at some point.

Step 2

Mean value Theorem:

Step 3

Let v(t) be the velocity of the trireme at time t.

The distance covered by the trireme at t = 0 is s(0) = 0 mi.

The distance covered by the trireme at t = 24h ...

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