text: # maths/physics/biomechanics
  
  posted by .
  
  At the beginning of a race, a yacht crosses the start line and sails in
  westerly direction at a speed of 4 m s-1. The current of the sea is flowing at
  2 m s-1 towards the north-east. Calculate how far [8 marks] and in what
  direction (relative to west) [8 marks] the yacht has traveled after 10
  minutes from its crossing the start line.
  (-4,0) + (1.4,1.4) = (-2.6,1.4)
  = 2.96 m/s at W28.3°N
  After 10 minutes (600 seconds) the distance traveled is 1772m
  
  Can you show me how to work this out. thanks!
  
  • maths/physics/biomechanics -
  
  4m/s @ 180 Deg + 2m/s @ 45 Deg.
  
  X = 4*cos180 + 2*cos45 = -2.586 m/s.
  Y = 0 + 2*sin45 = 1.414 m/s.
  
  tanAr=Y/X = 1.414 / -2.586 = -.054687,
  Ar = -28.7 Deg. = Reference angle.
  A=-28.7 + 180=151.3 Deg.,CCW= W28.7Deg
  N.
  
  V = X/cosA = -2.586 / cos151.3 = 2.95 m/s @ W28.7Deg.N.
  
  d = 2.95m/s * 600s = 1770 m.
  
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explanation: The text extract contains a math question and an answer to this question. The question is about a yacht that crosses the start line and sails in a westerly direction at a speed of 4 m/s, while the current of the sea is flowing at 2 m/s towards the north-east. The task is to calculate how far and in what direction (relative to west) the yacht has traveled after 10 minutes from its crossing the start line. The answer provided includes the calculations and the final result: the yacht travels 2.96 m/s at W28.3°N, and after 10 minutes (600 seconds), the distance traveled is 1772 meters.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # maths/physics/biomechanics
  
  posted by .
  
  At the beginning of a race, a yacht crosses the start line and sails in
  westerly direction at a speed of 4 m s-1. The current of the sea is flowing at
  2 m s-1 towards the north-east. Calculate how far [8 marks] and in what
  direction (relative to west) [8 marks] the yacht has traveled after 10
  minutes from its crossing the start line.
  (-4,0) + (1.4,1.4) = (-2.6,1.4)
  = 2.96 m/s at W28.3°N
  After 10 minutes (600 seconds) the distance traveled is 1772m
  
  Can you show me how to work this out. thanks!
  
  • maths/physics/biomechanics -
  
  4m/s @ 180 Deg + 2m/s @ 45 Deg.
  
  X = 4*cos180 + 2*cos45 = -2.586 m/s.
  Y = 0 + 2*sin45 = 1.414 m/s.
  
  tanAr=Y/X = 1.414 / -2.586 = -.054687,
  Ar = -28.7 Deg. = Reference angle.
  A=-28.7 + 180=151.3 Deg.,CCW= W28.7Deg
  N.
  
  V = X/cosA = -2.586 / cos151.3 = 2.95 m/s @ W28.7Deg.N.
  
  d = 2.95m/s * 600s = 1770 m.
  
  ## Similar Questions
  
  1. ### Physics
  
  A high-voltage line of length 175 m is carrying a current of 105 A at a point on the earth where its magnetic field is 5 * 10^(-5) T and points North,34 degree from the vertical axis. A) what is the magnitude and direction of the force …
  2. ### physics
  
  A high-voltage line of length 175 m is carrying a current of 105 A at a point on the earth where its magnetic field is 5 * 10^(-5) T and points North,34 degree from the vertical axis. A) what is the magnitude and direction of the force …
  3. ### maths
  
  At the beginning of a race, a yacht crosses the start line and sails in westerly direction at a speed of 4 m s-1. The current of the sea is flowing at 2 m s-1 towards the north-east. Calculate how far [8 marks] and in what direction …
  4. ### Math
  
  A skater races around a 500 the meter circular track a total of ten times. He crosses the start /finish line seven minutes after the start. Summarize the motion of the skater in terms of position, direction, and speed at the beginning, …
  5. ### Physics
  
  A boat is moving 24.4m/s, 35 degrees North of East against the 10m/s water current that flows towards south. What would be the speed of the boat as it crosses the river
  6. ### Math
  
  A yacht is moving at 10kmh in a south easterly direction and encounters a 3kmh current from the north. Find the actual speed and direction of the yacht.
  7. ### maths
  
  a yacht is moving at 10km/h in a south easterly direction and encounters a 3km/h current from the north. find the actual speed and direction of the yacht
  8. ### phyics
  
  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 …
  9. ### Math
  
  A skater races around a 500 the meter circular track a total of ten times. He crosses the start /finish line seven minutes after the start. Summarize the motion of the skater in terms of position, direction, and speed at the beginning, …
  10. ### Physics
  
  a ship is headed towards east at a thrust speed of 7.00 knots. A strong wind pressure causes the ship to deviate to the north at 1.00 knots. The sea current is flowing to the southwest at 4.00 knots. Determine the velocity of the ship …
  
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distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract contains a math question and an answer to this question. The question is about a yacht that crosses the start line and sails in a westerly direction at a speed of 4 m/s, while the current of the sea is flowing at 2 m/s towards the north-east. The task is to calculate how far and in what direction (relative to west) the yacht has traveled after 10 minutes from its crossing the start line. The answer provided includes the calculations and the final result: the yacht travels 2.96 m/s at W28.3°N, and after 10 minutes (600 seconds), the distance traveled is 1772 meters.
  
  Label: question-and-answer