Question #15701

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.)

Expert's answer

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].

V = √((15[km/h])² + (3[km/h])²) = √234[km/h] ≈ 15.3[km/h].

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