Asked by morgan
A crippled ship is being assisted to port. The motor is stuck, and is moving the boat east with a speed of 15 km/h. The current is flowing a 9 km/h at 30 degrees east of south.
A. If the maximum speed of the tugboat which is trying to rescue the disabled ship is 35 km/h, calculate the direction the tug should pull in order to get the ship to a dock directly north of its position.
B. Calculate the resultant velocity of the boat.
A. If the maximum speed of the tugboat which is trying to rescue the disabled ship is 35 km/h, calculate the direction the tug should pull in order to get the ship to a dock directly north of its position.
B. Calculate the resultant velocity of the boat.
Answers
Answered by
Steve
If the tug pulls at speed v on a course of θ, then in x-y coordinates,
15 + 9cos60° + 35 sinθ = 0
19.5 + 35 sinθ = 0
sinθ = -0.5571
θ = N 33.9° W
Now you can figure part B.
15 + 9cos60° + 35 sinθ = 0
19.5 + 35 sinθ = 0
sinθ = -0.5571
θ = N 33.9° W
Now you can figure part B.
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