heexpertta.com/Common/TakelutonalÄssignment.aspx nit 3 - Vectors and Motion in t

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heexpertta.com/Common/TakelutonalÄssignment.aspx nit 3 - Vectors and Motion in two Dimensions Begin Date: 1/25/2018 10:00:00 AM-Due Date: 2/1/2018 11:00:00 PM End Date: 5/4/20 1:00:00 PM (706) Problem 6: A vessel sets out from Hook of Holland, The Netherlands, heading due north at 2.5 m's relative to the water. The local ocean current is 1.50 m/s in a direction 40.0 north of east. 50% Part (a) what is the magnitude of the velocity of the vessel relative to the Earth in mi? Grade Sammary Deductions Potestial100 Submissions Attempts remaining (0% per attempt) detailed view sino cotan asin) acos) atanO acotanO inh0 cosh() - tanh() | cotanh() . DegreesRadians Submit I give up Feedback: deduction per feedback. Hints:for a--, deduction, Hints remaining: It may be helpful to draw a picture of the situation How do you add vectors? Break the vectors inte components

Explanation / Answer

given,

velocity of vessel relative to water = 7.5 m/s due north

velocity of ocean current = 1.5 m/s toward 40 degree north of east

horizontal velocity of vessel relative to earth = 1.5 * cos(40) m/s

vertical velocity of vessel relative to earth = (7.5 + 1.5 * sin(40)) m/s

velocity of vessel relative to earth = sqrt((7.5 + 1.5 * sin(40))^2 + (1.5 * cos(40))^2)

velocity of vessel relative to earth = 8.542 m/s

direction = tan^-1((7.5 + 1.5 * sin(40)) / (1.5 * cos(40)))

direction = 82.27 degree north of east

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