Sarah\'s friends have decided that it is inconsiderate to make Sarah walk down t

Question

Sarah's friends have decided that it is inconsiderate to make Sarah walk down the riverbank to meet them, so they decide to come straight across the river to meet her. The motor propels the boat at a speed of 5.0 m/s relative to the water and the current flows at 3.2 m/s with respect to the ground. If they want to move directly across the river without being deflected downstream or moving upstream, find the angle between the direction in which they need to point the boat and their path across the river. State the angle as positive

Explanation / Answer

speed of current flow v = 3.2 m / s speed of motor relairve to the water v ' = 5 m / s speed of the motor relative to the ground V = [ v'^ 2 + v^ 2 -2vv' cos 90 ] Since angle between v and v ' = 90 degrees So, V = [ v'^ 2 + v^ 2]           = 5.936 m / s Let the angle between the direction in which they need to point the boat and their path across the river be then sin = v / V                         = 0.539                       = 32.61 degrees the angle is positive .Since it in counter clockwise direction

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