Final answer:
Ship A's eastward travel at 30 knots suggests its easterly velocity on still water, and scenarios like this typically involve vector calculations to determine resultant velocities when considering additional factors like currents.
Step-by-step explanation:
When Ship A sails east at 30 knots, we can infer that its velocity relative to the Earth is in the easterly direction at a constant speed. If we need to calculate the resultant velocity of the ship considering a current or a wind, we would then add vectors taking into account both the speed and direction of Ship A, and the speed and direction of the current or wind.
Applying this concept, we can analyze situations involving vector addition and subtraction, such as a ship sailing in the Gulf Stream or a woman navigating a boat towards a dock.
For example, in the Gulf Stream scenario, the ship has a velocity of 4.00 m/s 25.0° west of north relative to the water, and a velocity of 4.80 m/s 5.00° west of north relative to the Earth, which allows us to calculate the velocity of the current.
In the case of the woman sailing a boat, subtracting vectors graphically helps us determine her incorrect location after traveling the opposite direction for the second leg of her trip.