Question
A boat heading north crosses a wide river with a velocity 15 km/h relative to the water. The river has a uniform velocity of 8 km/h due east. Determine the boat's velocity with respect to the shore.
(Choose the nearest answer)
9 km/h, 50degree
17 km/h, 62degree
39 km/h, 40degree
(Choose the nearest answer)
9 km/h, 50degree
17 km/h, 62degree
39 km/h, 40degree
Answers
v east = 8
v north = 15
|v| = sqrt(64 + 225) = 17
angle clockwise from north = cos^-1 15/17 = 31
angle counterclockwise from east (landlubber math way) = 90 -31 = 59
v north = 15
|v| = sqrt(64 + 225) = 17
angle clockwise from north = cos^-1 15/17 = 31
angle counterclockwise from east (landlubber math way) = 90 -31 = 59
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