A boat is headed due east across a river at a velocity of 25 meters/second with respect to the water. The velocity of the river current is 2.7 meters/second due north. What is the angle at which the boat will deviate from its original path?

Question

Physics

Savanna Liu

21 May, 12:10

A boat is headed due east across a river at a velocity of 25 meters/second with respect to the water. The velocity of the river current is 2.7 meters/second due north. What is the angle at which the boat will deviate from its original path?

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Answers (1)

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Bruce Burke · Answer 1

V (b-w) = 25i + 0j

V (w) = 0i + 2.7j

The resultant velocity V (b - w) = Vb - Vw

Therefore Vb = 25i+2.7j

The angle is calculated as follows:

ArcTan 2.7/25 = 6.16 degrees

The angle at which the boat will deviate from its original path would be 6.2 degrees. Hope this answers the question. Have a nice day.