a ship is heading due west at a steady speed of 15km/hr. a current of 3km/hr is running due south. calculate the velocity of the ship relative to the seabed.(hint: the velocity of the ship plus the velocity of the current will add up to the total velocity of the ship relative to the seabed.)
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Expert's answer
2012-10-03T12:06:36-0400
West and south directions are perpendicular. So, according to the Pythagorean theorem the velocity of the ship relative to the seabed is
V = √((15[km/h])² + (3[km/h])²) = √234[km/h] ≈ 15.3[km/h].
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