Mathematics, 07.04.2021 14:00 demarpratt1270
Skipper Dan is sailing his ship through a swift current. Before entering the current, his ship was moving with a velocity (speed and direction) of \vec{v_1}
v
1
β
β
v, start subscript, 1, end subscript, with, vector, on top. The direction of \vec{v_1}
v
1
β
β
v, start subscript, 1, end subscript, with, vector, on top is due west, and its speed is 20\,\text{km/h}20km/h20, start text, k, m, slash, h, end text.
Now that the ship is in the current, however, it is moving with a velocity \vec{v_2}
v
2
β
β
v, start subscript, 2, end subscript, with, vector, on top. The direction of \vec{v_2}
v
2
β
β
v, start subscript, 2, end subscript, with, vector, on top is 40^\circ40
β
40, degrees south of west, and its speed is 25\,\text{km/h}25km/h25, start text, k, m, slash, h, end text.
(Assume "due east" is 0^\circ0
β
0, degrees, "due north" is 90^\circ90
β
90, degrees, and so on.)
What is the speed of the current?
\text{km}/\text{h}km/hstart text, k, m, end text, slash, start text, h, end text
(Round your final answer to the nearest tenth.)
In what direction is the current flowing?
^\circ
β
degrees
(Round your final answer to the nearest degree. Your answer should be between 0^\circ0
β
0, degrees and 360^\circ360
β
360, degrees.
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