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b) A motor boat is set to head south-west from the mainland to the near island, lying approximately 30 km away. The journey should take 50 minutes. If a tide of 4 km/h flows from south-east direction and the wind blows from the north-north-east at 30 km/h, determine, using complex numbers, the maximum speed and the direction the boat should be headed.

b) A motor boat is set to head south-west from the mainland to the near island, lying approximately 30 km away. The journey should take 50 minutes. If a tide of 4 km/h flows from south-east direction and the wind blows from the north-north-east at 30 km/h, determine, using complex numbers, the maximum speed and the direction the boat should be headed.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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b) A motor boat is set to head south-west from the mainland to the near island, lying approximately 30 km away. The journey should take 50 minutes. If a tide of 4 km/h flows from south-east direction and the wind blows from the north-north-east at 30 km/h, determine, using complex numbers, the maximum speed and the direction the boat should be headed. c) If Z₁ = -4+j8, Z₂ = -8-j9, Z3 = 64 - 60° and Z4 = 5x1.2 i) Convert each number into its polar form ii) Evaluate Z = Z₁Z₂Z3Z4 Z1-Z2 + 23-24
Transcribed Image Text:b) A motor boat is set to head south-west from the mainland to the near island, lying approximately 30 km away. The journey should take 50 minutes. If a tide of 4 km/h flows from south-east direction and the wind blows from the north-north-east at 30 km/h, determine, using complex numbers, the maximum speed and the direction the boat should be headed. c) If Z₁ = -4+j8, Z₂ = -8-j9, Z3 = 64 - 60° and Z4 = 5x1.2 i) Convert each number into its polar form ii) Evaluate Z = Z₁Z₂Z3Z4 Z1-Z2 + 23-24
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