1 2 P.083 A diver explores a shallow reef off the coast of Belize. She initially
ID: 1656971 • Letter: 1
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1 2 P.083 A diver explores a shallow reef off the coast of Belize. She initially swims 35.0 m north, makes a turn to the east and continues for 230.0 m, then follows a big grouper for 50.0 m in the direction 60° north of east. In the meantime, a local current displaces her by 150.0 m south. Assuming the current is no longer present, how far should she now swim (in m), and in Assume the +x-axis is to the east, and the +y-axis is to the north.) direction (in degrees counterclockwise from the +x-axis), to come back to the point where she started? magnitude direction eBook 1 2.1.P035. s resultant A pedestrian walks 9.0 km east and then 16.5 km south. Use a graphical method to find the displacement and geographic direction. (Enter the magnitude in kilometers and the direction in degrees counterclockwise from the east axis.) magnitude direction km counterclockwise from the east axis Additional Materials eBookExplanation / Answer
Let east be x direction and north be y direction
displacement in x or east direction = 230 + 50cos 60 degree = 255 m
displacement in y or north direction = 35 + 50 sin 60 degree -150 = -71.7 m
so to return to her starting point she needs to go -255 i + 71.7 j
magnitude of displacement = sqrt(255^2+71.7^2)
= 264.9 m answer
direction = arctan(71.1/-255)
= 164.4 degree above x axis answer
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